# zbMATH — the first resource for mathematics

## Qi, Feng

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 Author ID: qi.feng Published as: Qi, Feng; Qi, F.; Feng, Qi; Qui, Feng Homepage: https://qifeng618.wordpress.com External Links: MGP · ORCID · arXiv · ResearchGate · Math-Net.Ru · dblp
 Documents Indexed: 456 Publications since 1993 Reviewing Activity: 41 Reviews
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#### Co-Authors

 58 single-authored 138 Guo, Bai-Ni 36 Xi, Boyan 35 Chen, Chaoping 27 Luo, Qiuming 25 Niu, Dawei 16 Cao, Jian 15 Guo, Senlin 13 Li, Wenhui 11 Lim, Dongkyu 11 Zhao, Jiaolian 9 Jiang, Weidong 9 Shi, Xiaoting 9 Wang, Yan 9 Xu, Senlin 8 Chen, Shouxin 8 Srivastava, Hari Mohan 8 Wang, Shuhong 7 Dragomir, Sever Silvestru 7 Shuang, Ye 7 Wang, Jing-Lin 7 Yin, Li 7 Zhang, Xiaojing 6 Debnath, Lokenath 5 Cerone, Pietro 5 Liu, Aiqi 5 Liu, Fangfang 5 Sooppy Nisar, Kottakkaran 5 Yin, Hongping 5 Zhang, Tianyu 4 Hua, Jü 4 Ji, Ai-Ping 4 Li, Wei 4 Mortici, Cristinel 4 Rahman, Gauhar 3 Acikgoz, Mehmet 3 Araci, Serkan 3 Bai, Shu-Ping 3 Guo, Xu-Yang 3 Hoorfar, Abdolhossein 3 Hua, Yun 3 Mahmoud, Mansour 3 Mei, Jiaqiang 3 Miao, Yu 3 Shi, Huannan 3 Wei, Chunfu 3 Wu, Ying 3 Zhang, Shiqin 3 Zheng, Miaomiao 2 Agarwal, Praveen 2 Awan, Muhammad Uzair 2 Bai, Rui-Fang 2 Čerňanová, Viera 2 Chand, Mehar 2 Cheng, Junxiang 2 Chun, Ling 2 Ghaffar, Abdul 2 He, Chun-Ying 2 Huang, Chuan-Jun 2 Huang, Zheng 2 Huo, Zhenhong 2 Li, Xiaoai 2 Noor, Muhammad Aslam 2 Pei, Zhi-Li 2 Sofo, Anthony 2 Wang, Leilei 2 Wei, Zongli 2 Xia, Dafeng 2 Yang, Qiao 2 Yao, Yonghong 2 Zhang, Suling 2 Zhang, Yingjie 1 Akavaram, Venkatalakshmi 1 Bai, Yumei 1 Barnett, Neil Stuart 1 Berg, Christian 1 Bhukya, Ravi 1 Chan, Tsz Ho 1 Chapman, Robin J. 1 Chen, Rongjiang 1 Chu, Xiaoguang 1 Chu, Yuming 1 Cui, Lihong 1 Cui, Runqing 1 Cui, Yunqing 1 Di, Shuai 1 Dolgiĭ, Dmitriĭ Viktorovich 1 Du, Wei-Shih 1 Du, Xinyu 1 Gao, Peng 1 Guo, Tianfen 1 Han, Lingxiong 1 He, Jian-Hui 1 Hong, Yan 1 Hussain, Sardar Muhammad 1 Jain, Shilpi 1 Jang, Lee-Chae 1 Jiang, Yueping 1 Jolany, Hassan 1 Kaddoura, Issam H. 1 Kim, Dae San ...and 45 more Co-Authors
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#### Serials

 27 Mathematical Inequalities & Applications 17 Journal of Computational and Applied Mathematics 16 Tamkang Journal of Mathematics 13 Integral Transforms and Special Functions 13 Journal of Inequalities and Applications 13 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 12 Applied Mathematics and Computation 11 Journal of Mathematical Analysis and Applications 11 Journal of Nonlinear Science and Applications 10 Analysis (München) 9 Filomat 9 Advanced Studies in Contemporary Mathematics (Kyungshang) 9 The Australian Journal of Mathematical Analysis and Applications 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 International Journal of Mathematics and Mathematical Sciences 8 Cogent Mathematics 7 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 7 Journal of Mathematical Inequalities 6 Nonlinear Functional Analysis and Applications 6 Hacettepe Journal of Mathematics and Statistics 6 Acta Universitatis Sapientiae. Mathematica 6 Mathematics 5 Periodica Mathematica Hungarica 5 Rocky Mountain Journal of Mathematics 5 Mathematica Slovaca 5 Taiwanese Journal of Mathematics 5 Applied Mathematics E-Notes 5 International Journal of Analysis and Applications 4 Proceedings of the American Mathematical Society 4 Journal of Computational Analysis and Applications 4 Mediterranean Journal of Mathematics 4 Miskolc Mathematical Notes 4 Journal of Mathematical Analysis and Approximation Theory 3 Analysis Mathematica 3 Journal of the Korean Mathematical Society 3 Journal of Number Theory 3 Le Matematiche 3 Journal of Mathematical Research & Exposition 3 Bulletin of the Korean Mathematical Society 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika 3 Journal of Applied Analysis 3 Abstract and Applied Analysis 3 Communications of the Korean Mathematical Society 3 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 3 Proceedings of the Jangjeon Mathematical Society 3 Journal of the Indonesian Mathematical Society 3 Journal of Applied Analysis and Computation 3 Problemy Analiza. Issues of Analysis 2 International Journal of Mathematical Education in Science and Technology 2 Indian Journal of Pure & Applied Mathematics 2 The Australian Mathematical Society Gazette 2 Journal of Approximation Theory 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Publicationes Mathematicae 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of the Iranian Mathematical Society 2 Mathematica Applicata 2 Studia Universitatis Babeş-Bolyai. Mathematica 2 Indagationes Mathematicae. New Series 2 General Mathematics 2 Georgian Mathematical Journal 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Chinese Quarterly Journal of Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Kragujevac Journal of Mathematics 2 Cubo Matemática Educacional 2 Communications on Pure and Applied Analysis 2 International Journal of Applied Mathematical Sciences 2 Contributions to Discrete Mathematics 2 Applicable Analysis and Discrete Mathematics 2 Banach Journal of Mathematical Analysis 2 Tbilisi Mathematical Journal 2 Afrika Matematika 2 Transactions of A. Razmadze Mathematical Institute 2 Korean Journal of Mathematics 2 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Acta Scientiarum Mathematicarum 1 Fasciculi Mathematici 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Rostocker Mathematisches Kolloquium 1 Studia Scientiarum Mathematicarum Hungarica 1 Soochow Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Mathematics. Wuhan University 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Facta Universitatis. Series Mathematics and Informatics 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Elemente der Mathematik 1 Tatra Mountains Mathematical Publications 1 Computational and Applied Mathematics ...and 38 more Serials
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#### Fields

 346 Real functions (26-XX) 191 Special functions (33-XX) 101 Number theory (11-XX) 48 Approximations and expansions (41-XX) 38 Combinatorics (05-XX) 30 Integral transforms, operational calculus (44-XX) 21 Functions of a complex variable (30-XX) 19 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 6 Sequences, series, summability (40-XX) 6 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 2 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

373 Publications have been cited 3,001 times in 858 Documents Cited by Year
A complete monotonicity property of the gamma function. Zbl 1046.33001
Qi, Feng; Chen, Chao-Ping
2004
Bounds for the ratio of two gamma functions. Zbl 1194.33005
Qi, Feng
2010
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1094.33002
Qi, Feng; Guo, Baini; Chen, Chaoping
2006
Logarithmically completely monotonic functions relating to the gamma function. Zbl 1099.33002
Chen, Chao-Ping; Qi, Feng
2006
Complete monotonicity of some functions involving polygamma functions. Zbl 1188.26007
Qi, Feng; Guo, Senlin; Guo, Bai-Ni
2010
Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind. Zbl 1385.11011
Qi, Feng
2014
A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function. Zbl 1299.26022
Guo, Bai-Ni; Qi, Feng
2010
Some completely monotonic functions involving polygamma functions and an application. Zbl 1074.33005
Qi, Feng; Cui, Run-Qing; Chen, Chao-Ping; Guo, Bai-Ni
2005
Three classes of logarithmically completely monotonic functions involving gamma and psi functions. Zbl 1144.26013
Qi, Feng
2007
Refinements, generalizations, and applications of Jordan’s inequality and related problems. Zbl 1175.26048
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2009
Some identities and an explicit formula for Bernoulli and Stirling numbers. Zbl 1291.11051
Guo, Bai-Ni; Qi, Feng
2014
The best bounds in Wallis’ inequality. Zbl 1049.05006
Chen, Chao-Ping; Qi, Feng
2005
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
2016
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
2010
Two new proofs of the complete monotonicity of a function involving the psi function. Zbl 1183.33002
Guo, Bai-Ni; Qi, Feng
2010
Hermite-Hadamard type inequalities for the $$m$$- and $$(\alpha,m)$$-geometrically convex functions. Zbl 1264.26033
Xi, Bo-Yan; Bai, Rui-Fang; Qi, Feng
2012
Hermite-Hadamard type inequalities for the $$m$$- and $$(\alpha,m)$$-logarithmically convex functions. Zbl 1340.26043
Bai, Rui-Fang; Qi, Feng; Xi, Bo-Yan
2013
Some integral inequalities of simpson type for GA-$$\varepsilon$$-convex functions. Zbl 1284.26012
Qi, Feng; Xi, Bo-Yan
2013
Some inequalities constructed by Tchebysheff’s integral inequality. Zbl 0943.26030
Qi, Feng; Cui, Li-Hong; Xu, Sen-Lin
1999
Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem. Zbl 1294.33004
Qi, Feng; Luo, Qiu-Ming
2013
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. Zbl 1376.11015
Guo, Bai-Ni; Qi, Feng
2014
An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers. Zbl 1419.11045
Qi, Feng
2016
Bounds for the ratio of two gamma functions – from Wendel’s and related inequalities to logarithmically completely monotonic functions. Zbl 1245.33004
Luo, Qiu-Ming; Qi, Feng
2012
Supplements to a class of logarithmically completely monotonic functions associated with the gamma function. Zbl 1139.33300
Guo, Senlin; Qi, Feng; Srivastava, H. M.
2008
A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw’s double inequality. Zbl 1113.33004
Qi, Feng
2007
Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic. Zbl 1179.26036
Qi, Feng; Guo, Bai-Ni
2010
A class of completely monotonic functions involving divided differences of the psi and tri-gamma functions and some applications. Zbl 1270.26010
Guo, Bai-Ni; Qi, Feng
2011
Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials. Zbl 1042.11012
Luo, Qiu-Ming; Qi, Feng
2003
Some bounds for the complete elliptic integrals of the first and second kinds. Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
2011
Notes on the Schur-convexity of the extended mean values. Zbl 1086.26008
Qi, Feng; Sándor, József; Dragomir, Sever S.; Sofo, Anthony
2005
Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications. Zbl 1181.26024
Qi, Feng; Guo, Bai-Ni
2009
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
2014
Several closed expressions for the Euler numbers. Zbl 1366.11052
Wei, Chun-Fu; Qi, Feng
2015
The function $$(b^{x}-a^{x})/x$$: Inequalities and properties. Zbl 0904.26006
Qi, Feng; Xu, Sen-Lin
1998
Wendel’s and Gautschi’s inequalities: refinements, extensions, and a class of logarithmically completely monotonic functions. Zbl 1173.26315
Qi, Feng; Guo, Bai-Ni
2008
Two logarithmically completely monotonic functions connected with gamma function. Zbl 1093.33001
Qi, Feng; Yang, Qiao; Li, Wei
2006
The best bounds for Toader mean in terms of the centroidal and arithmetic means. Zbl 06704802
Hua, Yun; Qi, Feng
2014
Derivatives of tangent function and tangent numbers. Zbl 1410.11018
Qi, Feng
2015
Generalizations of Bernoulli numbers and polynomials. Zbl 1038.11013
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng; Debnath, Lokenath
2003
Generalizations and refinements of Hermite-Hadamard’s inequality. Zbl 1096.26014
Qi, Feng; Wei, Zong-Li; Yang, Qiao
2005
Some properties of the psi and polygamma functions. Zbl 1203.33002
Guo, Bai-Ni; Qi, Feng
2010
Integral representations and properties of Stirling numbers of the first kind. Zbl 1336.11022
Qi, Feng
2013
An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind. Zbl 1333.11024
Qi, Feng; Zhang, Xiao-Jing
2015
Diagonal recurrence relations for the Stirling numbers of the first kind. Zbl 1360.11051
Qi, Feng
2016
Monotonicity results and inequalities for the gamma and incomplete gamma functions. Zbl 1006.33001
Qi, Feng
2002
The best bounds in Gautschi-Kershaw inequalities. Zbl 1101.33001
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping
2006
Logarithmically completely monotonic functions concerning gamma and digamma functions. Zbl 1120.33003
Qi, Feng; Chen, Shou-Xin; Cheung, Wing-Sum
2007
Integral representations and complete monotonicity related to the remainder of Burnside’s formula for the gamma function. Zbl 1293.33002
Qi, Feng
2014
Explicit expressions for a family of the Bell polynomials and applications. Zbl 1338.33002
Qi, Feng; Zheng, Miao-Miao
2015
Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means. Zbl 1247.26041
Xi, Bo-Yan; Qi, Feng
2012
Generalizations of Euler numbers and polynomials. Zbl 1038.11014
Luo, Qiu-Ming; Qi, Feng; Debnath, Lokenath
2003
On new proofs of Wilker’s inequalities involving trigonometric functions. Zbl 1040.26006
Guo, Bai-Ni; Qiao, Bao-Min; Qi, Feng; Li, Wei
2003
A general refinement of Jordan’s inequality and a refinement of L. Yang’s inequality. Zbl 1141.26003
Niu, Da-Wei; Huo, Zhen-Hong; Cao, Jian; Qi, Feng
2008
Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials. Zbl 1427.11023
Qi, Feng; Guo, Bai-Ni
2017
Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function. Zbl 1280.26017
Qi, Feng; Berg, Christian
2013
An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind. Zbl 1300.05024
Qi, Feng
2014
Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities. Zbl 1324.33004
Qi, Feng
2013
Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions. Zbl 1326.33001
Qi, Feng
2015
Refinements and extensions of an inequality. II. Zbl 0932.26010
Qi, Feng; Xu, Senlin
1997
Generalization of Bernoulli polynomials. Zbl 1021.11003
Guo, Bai-Ni; Qi, Feng
2002
Logarithmic convexity of extended mean values. Zbl 0993.26012
Qi, Feng
2002
Completely monotonic function associated with the gamma functions and proof of Wallis’ inequality. Zbl 1092.33002
Chen, Chaoping; Qi, Feng
2005
Generalized weighted mean values with two parameters. Zbl 0935.26014
Qi, Feng
1998
A double inequality for bounding Toader mean by the centroidal mean. Zbl 1310.26027
Hua, Yun; Qi, Feng
2014
Sharp inequalities for polygamma functions. Zbl 1349.33001
Guo, Bai-Ni; Qi, Feng; Zhao, Jiao-Lian; Luo, Qiu-Ming
2015
Simpson type integral inequalities in which the power of the absolute value of the first derivative of the integrand is $$s$$-preinvex. Zbl 06451387
Wang, Yan; Wang, Shu-Hong; Qi, Feng
2013
Some Hermite-Hadamard type inequalities for differentiable convex functions and applications. Zbl 1292.26061
Xi, Bo-Yan; Qi, Feng
2013
Refinements of lower bounds for polygamma functions. Zbl 1267.33003
Guo, Bai-Ni; Qi, Feng
2013
Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations. Zbl 1439.11088
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
2019
A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality. Zbl 1160.33001
Qi, Feng
2009
An alternative note on the Schur-convexity of the extended mean values. Zbl 1104.26014
Shi, Huan-Nan; Wu, Shan-He; Qi, Feng
2006
A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums. Zbl 1131.33002
Qi, Feng
2007
A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw’s double inequality. Zbl 1145.33001
Qi, Feng; Guo, Bai-Ni
2008
Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean. Zbl 1290.30043
Qi, Feng; Zhang, Xiao-Jing; Li, Wen-Hui
2014
Lévy-Khintchine representation of the geometric mean of many positive numbers and applications. Zbl 1296.26114
Qi, Feng; Zhang, Xiao-Jing; Li, Wen-Hui
2014
Hermite-Hadamard type integral inequalities for geometric-arithmetically $$s$$-convex functions. Zbl 1272.26024
Shuang, Ye; Yin, Hong-Ping; Qi, Feng
2013
Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010
Qi, Feng; Mortici, Cristinel
2015
Some sharp inequalities involving Seiffert and other means and their concise proofs. Zbl 1253.26052
Jiang, Wei-Dong; Qi, Feng
2012
Inequalities for the incomplete gamma and related functions. Zbl 0916.33001
Qi, Feng; Guo, Sen-Lin
1999
Some inequalities of the incomplete gamma and related functions. Zbl 0934.33001
Qi, Feng; Mei, Jia-Qiang
1999
Complete monotonicity of the logarithmic mean. Zbl 1175.26024
Qi, Feng; Chen, Shouxin
2007
Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic. Zbl 1136.33001
Guo, Senlin; Qi, Feng; Srivastava, H. M.
2007
Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions. Zbl 1207.26020
Guo, Bai-Ni; Qi, Feng; Srivastava, H. M.
2010
Properties and applications of a function involving exponential functions. Zbl 1179.33001
Guo, Bai-Ni; Qi, Feng
2009
A simple proof of logarithmic convexity of extended mean values. Zbl 1184.26028
Guo, Bai-Ni; Qi, Feng
2009
Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind. Zbl 1333.11027
Qi, Feng
2016
Convexity of the generalized sine function and the generalized hyperbolic sine function. Zbl 1292.33003
Jiang, Wei-Dong; Wang, Miao-Kun; Chu, Yu-Ming; Jiang, Yue-Ping; Qi, Feng
2013
Some exact constants for the approximation of the quantity in the Wallis’ formula. Zbl 1281.41010
Guo, Senlin; Xu, Jian-Guo; Qi, Feng
2013
An integral representation for the weighted geometric mean and its applications. Zbl 1290.26041
Qi, Feng; Zhang, Xiao Jing; Li, Wen Hui
2014
Complete monotonicity of a function involving the ratio of gamma functions and applications. Zbl 1245.33003
Guo, Bai-Ni; Qi, Feng; Wei, Chun-Fu
2012
A completely monotonic function involving the tri-gamma function and with degree one. Zbl 1245.26007
Guo, Bai-Ni; Qi, Feng
2012
An integral expression and some inequalities of Mathieu type series. Zbl 1114.26022
Qi, Feng
2003
Some logarithmically completely monotonic functions related to the gamma function. Zbl 1208.26017
Qi, Feng; Guo, Bai-Ni
2010
Sharp bounds for harmonic numbers. Zbl 1229.11027
Guo, Bai-Ni; Qi, Feng
2011
Inequalities of the complete elliptic integrals. Zbl 0912.33012
Qi, Feng; Huang, Zheng
1998
Hermite-Hadamard type inequalities for extended $$s$$-convex functions on the co-ordinates in a rectangle. Zbl 1296.26105
Xi, Bo-Yan; Hua, Jü; Qi, Feng
2014
Some inequalities for the Bell numbers. Zbl 1420.11052
Qi, Feng
2017
A completely monotonic function involving the tri- and tetra-gamma functions. Zbl 1349.26024
Guo, Bai-Ni; Zhao, Jiao-Lian; Qi, Feng
2013
Sharpening and generalizations of Shafer-Fink’s double inequality for the arc sine function. Zbl 1324.33001
Guo, Bai-Ni; Luo, Qiu-Ming; Qi, Feng
2013
Inequalities of Hermite-Hadamard type for extended $$s$$-convex functions and applications to means. Zbl 1332.26020
Xi, Bo-Yan; Qi, Feng
2015
From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. Zbl 1451.33002
Qi, Feng; Guo, Bai-Ni
2021
A ratio of finitely many gamma functions and its properties with applications. Zbl 1466.26009
Qi, Feng; Li, Wen-Hui; Yu, Shu-Bin; Du, Xin-Yu; Guo, Bai-Ni
2021
Some inequalities and an application of exponential polynomials. Zbl 1468.11075
Qi, Feng
2020
Some inequalities of the Grüss type for conformable $$k$$-fractional integral operators. Zbl 1434.26065
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Qi, Feng
2020
Closed formulas and identities on the Bell polynomials and falling factorials. Zbl 07232880
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
2020
Special values of the Bell polynomials of the second kind for some sequences and functions. Zbl 1444.11040
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Yao, Yong-Hong
2020
Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold. Zbl 1453.33003
Qi, Feng
2020
Recurrences of Stirling and Lah numbers via second kind Bell polynomial. Zbl 1463.11058
Qi, Feng; Natalini, Pierpaolo; Ricci, Paolo Emilio
2020
Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations. Zbl 1439.11088
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
2019
A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers. Zbl 1425.11043
Qi, Feng
2019
Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. Zbl 1429.11056
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2019
Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind. Zbl 1429.34025
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2019
Notes on two kinds of special values for the Bell polynomials of the second kind. Zbl 1438.11060
Qi, Feng; Lim, Dongkyu; Yao, Yong-Hong
2019
Some inequalities of the Hermite-Hadamard type for $$k$$-fractional conformable integrals. Zbl 1407.26022
Huang, Chuan-Jun; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Qi, Feng
2019
Completely monotonic degrees for a difference between the logarithmic and psi functions. Zbl 07085896
Qi, Feng; Liu, Ai-Qi
2019
Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag-Leffler polynomials. Zbl 1460.34008
Qi, Feng
2019
Explicit expressions related to degenerate Cauchy numbers and their generating function. Zbl 1429.11045
Qi, Feng; Liu, Ai-Qi; Lim, Dongkyu
2019
RETRACTED ARTICLE: A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1423.11035
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2019
Some fractional differential equations involving generalized hypergeometric functions. Zbl 1423.26010
Agarwal, Praveen; Qi, Feng; Chand, Mehar; Singh, Gurmej
2019
Monotonicity properties and inequalities related to generalized Grötzsch ring functions. Zbl 1427.33012
Wang, Fei; He, Jian-Hui; Yin, Li; Qi, Feng
2019
On complete monotonicity of linear combination of finite psi functions. Zbl 1429.33005
Guo, Bai-Ni; Qi, Feng
2019
Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds. Zbl 1449.11045
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu
2019
Integral representations for multivariate logarithmic polynomials. Zbl 1400.11078
Qi, Feng
2018
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
2018
On multivariate logarithmic polynomials and their properties. Zbl 1415.11056
Qi, Feng
2018
Simplifying differential equations concerning degenerate Bernoulli and Euler numbers. Zbl 1391.34028
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Integral representations of bivariate complex geometric mean and their applications. Zbl 1375.26045
Qi, Feng; Lim, Dongkyu
2018
Simplifying coefficients in a family of nonlinear ordinary differential equations. Zbl 1437.11038
Qi, Feng
2018
Closed forms for derangement numbers in terms of the Hessenberg determinants. Zbl 1401.05017
Qi, Feng; Zhao, Jiao-Lian; Guo, Bai-Ni
2018
Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials. Zbl 1408.33023
Qi, Feng
2018
Some properties of the Bernoulli numbers of the second kind and their generating function. Zbl 1406.11017
Qi, Feng; Zhao, Jiao-Lian
2018
The reciprocal of the weighted geometric mean is a Stieltjes function. Zbl 1390.30048
Qi, Feng; Guo, Bai-Ni
2018
Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. Zbl 07031663
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2018
Alternative proofs of some formulas for two tridiagonal determinants. Zbl 07042987
Qi, Feng; Liu, Ai-Qi
2018
Some inequalities of Čebyšev type for conformable $$k$$-fractional integral operators. Zbl 1423.26013
Qi, Feng; Rahman, Gauhar; Hussain, Sardar Muhammad; Du, Wei-Shih; Nisar, Kottakkaran Sooppy
2018
Simplifying and finding ordinary differential equations in terms of the Stirling numbers. Zbl 1440.11012
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function. Zbl 1400.30046
Qi, Feng; Guo, Bai-Ni
2018
Integral representations of the large and little Schröder numbers. Zbl 1398.05031
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2018
Lévy-Khintchine representation of Toader-Qi mean. Zbl 1384.44002
Qi, Feng; Guo, Bai-Ni
2018
Several series identities involving the Catalan numbers. Zbl 1441.11045
Yin, Li; Qi, Feng
2018
Some new inequalities of the Grüss type for conformable fractional integrals. Zbl 1428.26014
Rahman, Gauhar; Sooppy Nisar, Kottakkaran; Qi, Feng
2018
Integral inequalities of Hermite-Hadamard type for extended $$s$$-convex functions and applications. Zbl 1404.26025
Shuang, Ye; Qi, Feng
2018
Some properties of the Fuss-Catalan numbers. Zbl 1425.05018
Qi, Feng; Cerone, Pietro
2018
On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function. Zbl 1439.11087
Qi, Feng; Guo, Bai-Ni
2018
An improper integral, the beta function, the Wallis ratio, and the Catalan numbers. Zbl 1440.11023
Qi, Feng
2018
Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials. Zbl 1427.11023
Qi, Feng; Guo, Bai-Ni
2017
Some inequalities for the Bell numbers. Zbl 1420.11052
Qi, Feng
2017
Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function. Zbl 1360.33004
Qi, Feng; Guo, Bai-Ni
2017
Explicit formulas and recurrence relations for higher order Eulerian polynomials. Zbl 1377.11030
Qi, Feng; Guo, Bai-Ni
2017
Integral representations of the Catalan numbers and their applications. Zbl 1402.11032
Qi, Feng; Guo, Bai-Ni
2017
Expansions of the exponential and the logarithm of power series and applications. Zbl 1373.30003
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang
2017
Parametric integrals, the Catalan numbers, and the beta function. Zbl 1440.11022
Qi, Feng
2017
Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1432.11014
Qi, Feng; Guo, Bai-Ni
2017
Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers. Zbl 1412.11049
Zhao, Jiao-Lian; Wang, Jing-Lin; Qi, Feng
2017
Some explicit and recursive formulas of the large and little Schröder numbers. Zbl 1413.11135
Qi, Feng; Guo, Bai-Ni
2017
A closed form for the Stirling polynomials in terms of the Stirling numbers. Zbl 1432.11025
Qi, Feng; Guo, Bai-Ni
2017
Two explicit formulas for the generalized Motzkin numbers. Zbl 1358.05018
Zhao, Jiao-Lian; Qi, Feng
2017
Bounding the difference and ratio between the weighted arithmetic and geometric means. Zbl 1378.26028
Qi, Feng
2017
The harmonic and geometric means are Bernstein functions. Zbl 1381.26031
Qi, Feng; Zhang, Xiao-Jing; Li, Wen-Hui
2017
Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials. Zbl 1351.33008
Agarwal, Praveen; Qi, Feng; Chand, Mehar; Jain, Shilpi
2017
The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform. Zbl 1360.30029
Qi, Feng; Guo, Bai-Ni
2017
Bounding the gamma function in terms of the trigonometric and exponential functions. Zbl 1399.33002
Qi, Feng; Mahmoud, Mansour
2017
On solutions of fractional kinetic equations involving the generalized $$k$$-Bessel function. Zbl 1393.34017
Nisar, Kottakkaran Sooppy; Qi, Feng
2017
Hermite-Hadamard type inequalities for $$(\alpha,m)$$-HA and strongly $$(\alpha,m)$$-HA convex functions. Zbl 1412.26013
He, Chun-Ying; Wang, Yan; Xi, Bo-Yan; Qi, Feng
2017
Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. Zbl 1460.11028
Qi, Feng; Guo, Bai-Ni
2017
Several formulas for special values of the Bell polynomials of the second kind and applications. Zbl 07309565
Qi, Feng; Shi, Xiaoting; Liu, Fangfang; Kruchinin, Dmitry V.
2017
A double inequality for an integral mean in terms of the exponential and logarithmic means. Zbl 1413.26061
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang; Yang, Zhen-Hang
2017
On an analogue of Euler polynomials and related to extended fermionic $$p$$-adic integrals on $$\mathbb{Z}_{p}$$. Zbl 1391.11039
Qi, Feng; Araci, Serkan; Acikgoz, Mehmet
2017
An explicit formula for derivative polynomials of the tangent function. Zbl 1390.26005
Qi, Feng; Guo, Bai-Ni
2017
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
2016
An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers. Zbl 1419.11045
Qi, Feng
2016
Diagonal recurrence relations for the Stirling numbers of the first kind. Zbl 1360.11051
Qi, Feng
2016
Diagonal recurrence relations, inequalities, and monotonicity related to the Stirling numbers of the second kind. Zbl 1333.11027
Qi, Feng
2016
Schur-convexity of the Catalan-Qi function related to the Catalan numbers. Zbl 1420.11056
Qi, Feng; Shi, Xiao-Ting; Mahmoud, Mansour; Liu, Fang-Fang
2016
An explicit formula for Bernoulli polynomials in terms of $$r$$-Stirling numbers of the second kind. Zbl 1371.11045
Guo, Bai-Ni; Mezö, István; Qi, Feng
2016
A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind. Zbl 1432.11023
Qi, Feng
2016
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2016
Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers. Zbl 1360.11052
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang
2016
Three identities of the Catalan-Qi numbers. Zbl 1358.05029
Mahmoud, Mansour; Qi, Feng
2016
Logarithmically complete monotonicity of a function related to the Catalan-Qi function. Zbl 1419.11046
Qi, Feng; Guo, Bai -Ni
2016
Integral representations and properties of some functions involving the logarithmic function. Zbl 06749823
Qi, Feng; Li, Wen-Hui
2016
Some determinantal expressions and recurrence relations of the Bernoulli polynomials. Zbl 1375.11021
Qi, Feng; Guo, Bai-Ni
2016
Some discussions on a kind of improper integrals. Zbl 1379.26015
Qi, Feng; Čerňanová, Viera
2016
Some properties of the Schröder numbers. Zbl 1365.05018
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2016
On the Appell type $$\lambda$$-Changhee polynomials. Zbl 1334.05014
Lim, Dongku; Qi, Feng
2016
Complete monotonicity of divided differences of the di- and tri-gamma functions with applications. Zbl 1339.33007
Qi, Feng; Guo, Bai-Ni
2016
Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers. Zbl 1438.11064
Qi, Feng; Guo, Bai-Ni
2016
An inequality involving the gamma and digamma functions. Zbl 1339.33006
Qi, Feng; Guo, Bai-Ni
2016
A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean. Zbl 06749626
Jiang, Wei-Dong; Qi, Feng
2016
A recovery of two determinantal representations for derangement numbers. Zbl 1438.11052
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2016
Some inequalities and absolute monotonicity for modified Bessel functions of the first kind. Zbl 1338.33016
Guo, Bai-Ni; Qi, Feng
2016
Integral inequalities of simpsons type for $$(\alpha,m)$$-convex functions. Zbl 1386.26010
Shuang, Ye; Wang, Yan; Qi, Feng
2016
Hermite-Hadamard type integral inequalities via $$(s,m)$$-$$P$$-convexity on co-ordinates. Zbl 1329.26023
Wu, Ying; Qi, Feng; Pei, Zhi-Li; Bai, Shu-Ping
2016
Some new and explicit identities related with the Appell-type degenerate $$q$$-Changhee polynomials. Zbl 1419.11042
Qi, Feng; Jang, Lee-Chae; Kwon, Hyuck-In
2016
Some integral inequalities of the Hermite-Hadamard type for log-convex functions on co-ordinates. Zbl 1386.26008
Bai, Yu-Mei; Qi, Feng
2016
A completely monotonic function involving the gamma and trigamma functions. Zbl 07244525
Qi, Feng
2016
Several closed expressions for the Euler numbers. Zbl 1366.11052
Wei, Chun-Fu; Qi, Feng
2015
Derivatives of tangent function and tangent numbers. Zbl 1410.11018
Qi, Feng
2015
An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind. Zbl 1333.11024
Qi, Feng; Zhang, Xiao-Jing
2015
Explicit expressions for a family of the Bell polynomials and applications. Zbl 1338.33002
Qi, Feng; Zheng, Miao-Miao
2015
...and 273 more Documents
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#### Cited by 693 Authors

 198 Qi, Feng 79 Guo, Bai-Ni 74 Chu, Yuming 57 Yang, Zhenhang 31 Chen, Chaoping 30 Srivastava, Hari Mohan 25 Kashuri, Artion 20 Zhu, Ling 19 Liko, Rozana 18 Guo, Senlin 16 Kim, Taekyun 16 Qian, Weimao 16 Tian, Jingfeng 16 Xi, Boyan 15 Dragomir, Sever Silvestru 15 Noor, Muhammad Aslam 14 Mortici, Cristinel 14 Wang, Miaokun 13 Kim, Dae San 13 Yin, Li 12 Choi, Junesang 12 Zhao, Tiehong 11 Du, Tingsong 11 Noor, Khalida Inayat 11 Simsek, Yilmaz 11 Wu, Shanhe 10 Awan, Muhammad Uzair 10 Luo, Qiuming 10 Zhang, Wen 9 Batir, Necdet 9 Niu, Dawei 9 Zhang, Xiaohui 8 Araci, Serkan 8 Lim, Dongkyu 8 Long, Boyong 8 Pogány, Tibor K. 8 Zheng, Shenzhou 7 Kwon, Hyuck In 7 Li, Wenhui 7 Qiu, Songliang 7 Shi, Xiaoting 7 Sooppy Nisar, Kottakkaran 7 Wang, Jing-Lin 7 You, Xu 7 Zhao, Jiaolian 6 Acikgoz, Mehmet 6 Corcino, Roberto Bagsarsa 6 Jang, Lee-Chae 6 Jiang, Yueping 6 Khan, Nabiullah U. 6 Lin, Xiuli 6 Malešević, Branko J. 6 Natalini, Pierpaolo 6 Paris, Richard Bruce 6 Sarikaya, Mehmet Zeki 6 Song, Yingqing 5 Berg, Christian 5 Cerone, Pietro 5 Huang, Liguo 5 İşcan, İmdat 5 Karp, Dmitriĭ Borisovich 5 Mahmoud, Mansour 5 Mehrez, Khaled 5 Rahman, Gauhar 5 Ricci, Paolo Emilio 5 Shi, Huannan 5 Sun, Mingbao 5 Wang, Jinrong 5 Wang, Shuhong 5 Xia, Weifeng 4 Adell, José Antonio 4 Agarwal, Praveen 4 Anastassiou, George Angelos 4 Baricz, Árpád 4 Bercu, Gabriel 4 Chen, Shouxin 4 Farid, Ghulam 4 Jiang, Weidong 4 Koumandos, Stamatis 4 Lampret, Vito 4 Latif, Muhammad Amer 4 Lekuona, Alberto 4 Liu, Fangfang 4 Mihai, Marcela V. 4 Neuman, Edward 4 Ozdemir, Muhamet Emin 4 Shuang, Ye 4 Usman, Talha 3 Akdemir, Ahmet Ocak 3 Ali, Muhammad Aamir 3 Bagul, Yogesh J. 3 Bai, Shu-Ping 3 Bhayo, Barkat Ali 3 Blagouchine, Iaroslav V. 3 Budak, Hüseyin 3 Cao, Jian 3 Chen, Xiaodiao 3 Chesneau, Christophe 3 Das, Sourav 3 Dixit, Atul ...and 593 more Authors
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#### Cited in 179 Serials

 102 Journal of Inequalities and Applications 50 Applied Mathematics and Computation 46 Journal of Mathematical Analysis and Applications 40 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 26 Integral Transforms and Special Functions 21 Journal of Computational and Applied Mathematics 18 Abstract and Applied Analysis 18 Journal of Function Spaces 16 Advances in Difference Equations 15 Results in Mathematics 14 Mathematical Inequalities & Applications 14 Journal of Mathematical Inequalities 13 Computers & Mathematics with Applications 13 Journal of Nonlinear Science and Applications 12 Tbilisi Mathematical Journal 11 Acta Universitatis Sapientiae. Mathematica 10 Problemy Analiza. Issues of Analysis 10 Cogent Mathematics 9 International Journal of Mathematics and Mathematical Sciences 9 Journal of Number Theory 9 Proceedings of the American Mathematical Society 9 Mediterranean Journal of Mathematics 7 Applied Mathematics Letters 7 Mathematical and Computer Modelling 7 Journal of Mathematics 7 Mathematics 6 Rocky Mountain Journal of Mathematics 6 Georgian Mathematical Journal 6 Mathematical Problems in Engineering 6 Analysis (München) 6 Journal of Applied Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Open Mathematics 5 Journal of Approximation Theory 5 Aequationes Mathematicae 5 The Ramanujan Journal 5 Communications of the Korean Mathematical Society 5 Integers 5 Symmetry 5 Afrika Matematika 4 Indian Journal of Pure & Applied Mathematics 4 Periodica Mathematica Hungarica 4 Ukrainian Mathematical Journal 4 Mathematica Slovaca 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Applied Mathematics. Series B (English Edition) 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of Applied Analysis 4 Journal of Integer Sequences 4 Acta et Commentationes Universitatis Tartuensis de Mathematica 4 Proyecciones 4 Journal of Classical Analysis 4 International Journal of Analysis and Applications 4 Journal of Applied Mathematics, Statistics and Informatics 3 Bulletin of the Australian Mathematical Society 3 Fasciculi Mathematici 3 Statistics & Probability Letters 3 Bulletin of the Iranian Mathematical Society 3 The Journal of Analysis 3 Journal of Mathematical Sciences (New York) 3 Journal of the Egyptian Mathematical Society 3 Turkish Journal of Mathematics 3 Filomat 3 Bernoulli 3 Kragujevac Journal of Mathematics 3 Applied Mathematics E-Notes 3 Computational Methods and Function Theory 3 Journal of Function Spaces and Applications 3 The Australian Journal of Mathematical Analysis and Applications 3 Applicable Analysis and Discrete Mathematics 3 European Journal of Pure and Applied Mathematics 3 Science China. Mathematics 3 Journal of Applied Analysis and Computation 3 Transactions of A. Razmadze Mathematical Institute 2 Analysis Mathematica 2 Discrete Mathematics 2 Mathematical Notes 2 Mathematics of Computation 2 Demonstratio Mathematica 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Advances in Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Statistics 2 Constructive Approximation 2 Numerical Algorithms 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Discrete Dynamics in Nature and Society 2 Journal of the Australian Mathematical Society 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Cubo 2 Optimization Letters 2 Banach Journal of Mathematical Analysis 2 Asian-European Journal of Mathematics 2 ISRN Mathematical Analysis 2 Journal of Applied Mathematics & Informatics 2 Arabian Journal of Mathematics 2 Palestine Journal of Mathematics 2 Mathematical Sciences ...and 79 more Serials
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#### Cited in 39 Fields

 560 Real functions (26-XX) 357 Special functions (33-XX) 207 Number theory (11-XX) 89 Combinatorics (05-XX) 68 Approximations and expansions (41-XX) 34 Functions of a complex variable (30-XX) 33 Integral transforms, operational calculus (44-XX) 29 Numerical analysis (65-XX) 23 Probability theory and stochastic processes (60-XX) 21 Ordinary differential equations (34-XX) 20 Difference and functional equations (39-XX) 17 Sequences, series, summability (40-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Statistics (62-XX) 8 Measure and integration (28-XX) 8 Partial differential equations (35-XX) 5 Operator theory (47-XX) 5 Convex and discrete geometry (52-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)