## Guo, Bai-Ni

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 Author ID: guo.bai-ni Published as: Guo, Bai-Ni; Guo, Baini; Guo, B. N.; Guo, B.-N. more...less External Links: ORCID · arXiv · ResearchGate
 Documents Indexed: 160 Publications since 1993 Co-Authors: 49 Co-Authors with 159 Joint Publications 2,462 Co-Co-Authors
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### Co-Authors

 1 single-authored 149 Qi, Feng 14 Luo, Qiuming 8 Zhao, Jiaolian 7 Lim, Dongkyu 7 Niu, Dawei 6 Wang, Jing-Lin 4 Chen, Chaoping 4 Shi, Xiaoting 3 Guo, Senlin 3 Li, Wei 3 Li, Wenhui 3 Wei, Chunfu 3 Zhang, Shiqin 2 Chen, Shouxin 2 Debnath, Lokenath 2 Han, Lingxiong 2 Liu, Aiqi 1 Čerňanová, Viera 1 Chen, Rongjiang 1 Cui, Runqing 1 Cui, Yunqing 1 Du, Xinyu 1 Gao, Dan-Dan 1 Jia, Jishen 1 Jiang, Xin 1 Li, Guofu 1 Li, Xiaoai 1 Liu, Ximin 1 Mei, Hua 1 Mező, István 1 Mortici, Cristinel 1 Polatlı, Emrah 1 Qiao, Baomin 1 Shuang, Ye 1 Srivastava, Hari Mohan 1 Sun, Xiaowei 1 Wan, Aying 1 Wang, Jingyu 1 Wang, Junqing 1 Wang, Shuhong 1 Wang, Wen 1 Wu, Guo-Sheng 1 Wu, Ying 1 Xi, Boyan 1 Yao, Yonghong 1 Yin, Hongping 1 Yu, Shubin 1 Zhang, Yingjie 1 Zhu, Lijun
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### Serials

 8 Mathematical Inequalities & Applications 6 Journal of Computational and Applied Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 AIMS Mathematics 5 Integral Transforms and Special Functions 5 Journal of Inequalities and Applications 4 International Journal of Mathematical Education in Science and Technology 4 Applied Mathematics and Computation 4 Analysis (München) 4 Hacettepe Journal of Mathematics and Statistics 3 Journal of Mathematical Analysis and Applications 3 International Journal of Mathematics and Mathematical Sciences 3 Mathematica Slovaca 3 Filomat 3 Taiwanese Journal of Mathematics 3 Applicable Analysis and Discrete Mathematics 3 Acta Universitatis Sapientiae. Mathematica 3 Cogent Mathematics 2 Analysis Mathematica 2 Indian Journal of Pure & Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Georgian Mathematical Journal 2 Chinese Quarterly Journal of Mathematics 2 Communications of the Korean Mathematical Society 2 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 2 Kragujevac Journal of Mathematics 2 Applied Mathematics E-Notes 2 Communications on Pure and Applied Analysis 2 Journal of the Indonesian Mathematical Society 2 The Australian Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Inequalities 2 Mathematics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Journal of Approximation Theory 1 Le Matematiche 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Quaestiones Mathematicae 1 Tamkang Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Mathematics. Wuhan University 1 Journal of Mathematical Research & Exposition 1 Bulletin of the Korean Mathematical Society 1 Numerical Algorithms 1 Indagationes Mathematicae. New Series 1 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika 1 Tatra Mountains Mathematical Publications 1 Computational and Applied Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Abstract and Applied Analysis 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Integers 1 Nonlinear Functional Analysis and Applications 1 Journal of the Australian Mathematical Society 1 Cubo Matemática Educacional 1 Proceedings of the Jangjeon Mathematical Society 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Mediterranean Journal of Mathematics 1 Miskolc Mathematical Notes 1 International Journal of Mathematical Sciences 1 Contributions to Discrete Mathematics 1 Online Journal of Analytic Combinatorics 1 Optimization Letters 1 Journal of Mathematical Analysis and Approximation Theory 1 Banach Journal of Mathematical Analysis 1 Tbilisi Mathematical Journal 1 Science China. Mathematics 1 Afrika Matematika 1 Iranian Journal of Mathematical Sciences and Informatics 1 Problemy Analiza. Issues of Analysis 1 Journal of Mathematics 1 International Journal of Analysis and Applications 1 Transactions of A. Razmadze Mathematical Institute 1 Korean Journal of Mathematics
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### Fields

 108 Real functions (26-XX) 89 Special functions (33-XX) 52 Number theory (11-XX) 19 Combinatorics (05-XX) 14 Integral transforms, operational calculus (44-XX) 10 Numerical analysis (65-XX) 9 Functions of a complex variable (30-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Approximations and expansions (41-XX) 6 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Field theory and polynomials (12-XX) 2 Mathematics education (97-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

131 Publications have been cited 1,302 times in 448 Documents Cited by Year
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1094.33002
Qi, Feng; Guo, Baini; Chen, Chaoping
2006
Complete monotonicity of some functions involving polygamma functions. Zbl 1188.26007
Qi, Feng; Guo, Senlin; Guo, Bai-Ni
2010
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
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
Two new proofs of the complete monotonicity of a function involving the psi function. Zbl 1183.33002
Guo, Bai-Ni; Qi, Feng
2010
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
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. Zbl 1376.11015
Guo, Bai-Ni; Qi, Feng
2014
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
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
Some bounds for the complete elliptic integrals of the first and second kinds. Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
2011
Some properties of the psi and polygamma functions. Zbl 1203.33002
Guo, Bai-Ni; Qi, Feng
2010
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
Sharp inequalities for polygamma functions. Zbl 1349.33001
Guo, Bai-Ni; Qi, Feng; Zhao, Jiao-Lian; Luo, Qiu-Ming
2015
On new proofs of Wilker’s inequalities involving trigonometric functions. Zbl 1040.26006
Guo, Bai-Ni; Qiao, Bao-Min; Qi, Feng; Li, Wei
2003
Generalizations of Bernoulli numbers and polynomials. Zbl 1038.11013
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng; Debnath, Lokenath
2003
A completely monotonic function involving the tri-gamma function and with degree one. Zbl 1245.26007
Guo, Bai-Ni; Qi, Feng
2012
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
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 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
The best bounds in Gautschi-Kershaw inequalities. Zbl 1101.33001
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping
2006
Properties and applications of a function involving exponential functions. Zbl 1179.33001
Guo, Bai-Ni; Qi, Feng
2009
Refinements of lower bounds for polygamma functions. Zbl 1267.33003
Guo, Bai-Ni; Qi, Feng
2013
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
2018
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
Generalization of Bernoulli polynomials. Zbl 1021.11003
Guo, Bai-Ni; Qi, Feng
2002
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
Complete monotonicity of a function involving the divided difference of digamma functions. Zbl 1286.26007
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2013
A completely monotonic function involving the tri- and tetra-gamma functions. Zbl 1349.26024
Guo, Bai-Ni; Zhao, Jiao-Lian; Qi, Feng
2013
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
On the degree of the weighted geometric mean as a complete Bernstein function. Zbl 1329.26054
Guo, Bai-Ni; Qi, Feng
2015
Explicit formulas and recurrence relations for higher order Eulerian polynomials. Zbl 1377.11030
Qi, Feng; Guo, Bai-Ni
2017
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
Sharp bounds for harmonic numbers. Zbl 1229.11027
Guo, Bai-Ni; Qi, Feng
2011
A simple proof of logarithmic convexity of extended mean values. Zbl 1184.26028
Guo, Bai-Ni; Qi, Feng
2009
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 refinement of a double inequality for the gamma function. Zbl 1265.26026
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
2012
Integral representations of the Catalan numbers and their applications. Zbl 1402.11032
Qi, Feng; Guo, Bai-Ni
2017
Some logarithmically completely monotonic functions related to the gamma function. Zbl 1208.26017
Qi, Feng; Guo, Bai-Ni
2010
The function $$(b^x-a^x)/x$$ logarithmic convexity and applications to extended mean values. Zbl 1265.26029
Guo, Bai-Ni; Qi, Feng
2011
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
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 class of completely monotonic functions involving the polygamma functions. Zbl 1204.33002
Guo, Bai-Ni; Chen, Rong-Jiang; Qi, Feng
2006
Complete monotonicity of divided differences of the di- and tri-gamma functions with applications. Zbl 1339.33007
Qi, Feng; Guo, Bai-Ni
2016
A class of $$k$$-log-convex functions and their applications to some special functions. Zbl 1141.26004
Qi, Feng; Guo, Senlin; Guo, Bai-Ni; Chen, Shou-Xin
2008
Some properties of extended remainder of Binet’s first formula for logarithm of gamma function. Zbl 1240.26019
Qui, Feng; Guo, Bai-Ni
2010
On the Wallis formula. Zbl 1386.33001
Guo, Bai-Ni; Qi, Feng
2015
Lévy-Khintchine representation of Toader-Qi mean. Zbl 1384.44002
Qi, Feng; Guo, Bai-Ni
2018
Logarithmically complete monotonicity of a function related to the Catalan-Qi function. Zbl 1419.11046
Qi, Feng; Guo, Bai-Ni
2016
Six proofs for an identity of the Lah numbers. Zbl 1306.05014
Guo, Bai-Ni; Qi, Feng
2015
An alternative proof of Elezović-Giordano-Pečarić’s theorem. Zbl 1207.26019
Guo, Bai-Ni; Qi, Feng
2011
An extension of an inequality for ratios of gamma functions. Zbl 1230.33005
Guo, Bai-Ni; Qi, Feng
2011
Sharpening and generalizations of Shafer’s inequality for the arc tangent function. Zbl 1175.26049
Qi, Feng; Zhang, Shi-Qin; Guo, Bai-Ni
2009
Monotonicity and logarithmic convexity relating to the volume of the unit ball. Zbl 1276.26029
Guo, Bai-Ni; Qi, Feng
2013
Inequalities and monotonicity for the ratio of gamma functions. Zbl 1050.26012
Guo, Bai-Ni; Qi, Feng
2003
Simplifying differential equations concerning degenerate Bernoulli and Euler numbers. Zbl 1391.34028
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Sharpening and generalizations of Shafer’s inequality for the arc sine function. Zbl 1247.33002
Qi, Feng; Guo, Bai-Ni
2012
Notes on double inequalities of Mathieu’s series. Zbl 1086.26015
Qi, Feng; Chen, Chao-Ping; Guo, Bai-Ni
2005
A concise proof for properties of three functions involving the exponential function. Zbl 1175.26025
Zhang, Shi-Qin; Guo, Bai-Ni; Qi, Feng
2009
Refinements and sharpenings of some double inequalities for bounding the gamma function. Zbl 1168.33301
Guo, Bai-Ni; Zhang, Ying-Jie; Qi, Feng
2008
Closed formulas and identities on the Bell polynomials and falling factorials. Zbl 1471.11102
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
2020
Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1432.11014
Qi, Feng; Guo, Bai-Ni
2017
Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. Zbl 1354.11020
Qi, Feng; Guo, Bai-Ni
2014
Closed forms for derangement numbers in terms of the Hessenberg determinants. Zbl 1401.05017
Qi, Feng; Zhao, Jiao-Lian; Guo, Bai-Ni
2018
A closed form for the Stirling polynomials in terms of the Stirling numbers. Zbl 1432.11025
Qi, Feng; Guo, Bai-Ni
2017
Some determinantal expressions and recurrence relations of the Bernoulli polynomials. Zbl 1375.11021
Qi, Feng; Guo, Bai-Ni
2016
Monotonicity of sequences involving convex function and sequence. Zbl 1093.26024
Qi, F.; Guo, B.-N.
2006
On Steffensen pairs. Zbl 1014.26019
Qi, Feng; Guo, Bai-Ni
2002
Remarks on inequalities for the tangent function. Zbl 1273.26019
Zhao, Jiao-Lian; Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
2012
Complete monotonicity of two functions involving the tri- and tetra-gamma functions. Zbl 1289.26024
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
2012
The function $${(b^x-a^x)/x}$$: ratio’s properties. Zbl 1329.26006
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2014
A function involving gamma function and having logarithmically absolute convexity. Zbl 1131.26008
Qi, Feng; Guo, Bai-Ni; Guo, Senlin; Chen, Shou-Xin
2007
The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function. Zbl 1400.30046
Qi, Feng; Guo, Bai-Ni
2018
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
On evaluation of Riemann zeta function $$\zeta(s)$$. Zbl 1037.11058
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
2003
On proofs for monotonicity of a function involving the psi and exponential functions. Zbl 1273.33004
Li, Wen-Hui; Qi, Feng; Guo, Bai-Ni
2013
Inequalities for generalized weighted mean values of convex function. Zbl 0987.26019
Guo, Bai-Ni; Qi, Feng
2001
An inequality between ratio of the extended logarithmic means and ratio of the exponential means. Zbl 1050.26020
Qi, Feng; Guo, Bai-Ni
2003
Monotonicity of functions connected with the gamma function and the volume of the unit ball. Zbl 1253.33002
Guo, Bai-Ni; Qi, Feng
2012
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
Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. Zbl 07031663
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2018
Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers. Zbl 1438.11064
Qi, Feng; Guo, Bai-Ni
2016
The reciprocal of the weighted geometric mean is a Stieltjes function. Zbl 1390.30048
Qi, Feng; Guo, Bai-Ni
2018
Some explicit and recursive formulas of the large and little Schröder numbers. Zbl 1413.11135
Qi, Feng; Guo, Bai-Ni
2017
Some properties of the Schröder numbers. Zbl 1365.05018
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2016
Simplifying and finding ordinary differential equations in terms of the Stirling numbers. Zbl 1440.11012
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. Zbl 1460.11028
Qi, Feng; Guo, Bai-Ni
2017
Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers. Zbl 1331.11014
Guo, Bai-Ni; Qi, Feng
2014
A logarithmically completely monotonic function involving the gamma function. Zbl 1216.26006
Qi, Feng; Guo, Bai-Ni
2010
Sharpening and generalizations of Carlson’s inequality for the arc cosine function. Zbl 1216.33003
Guo, Bai-Ni; Qi, Feng
2010
A diagonal recurrence relation for the Stirling numbers of the first kind. Zbl 07407812
Qi, Feng; Guo, Bai-Ni
2018
Sharpening and generalizations of Carlson’s double inequality for the arc cosine function. Zbl 1282.26021
Zhao, Jiao-Lian; Wei, Chun-Fu; Guo, Bai-Ni; Qi, Feng
2012
Generalizations of a theorem of I. Schur. Zbl 1156.26301
Qi, Feng; Li, Wei; Guo, Bai-Ni
2006
A simple proof of Oppenheim’s double inequality relating to the cosine and sine functions. Zbl 1257.26012
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2012
Monotonicity and convexity of ration between gamma functions to different powers. Zbl 1068.33002
Qi, Feng; Guo, Bai-Ni
2005
A recovery of two determinantal representations for derangement numbers. Zbl 1438.11052
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2016
The additivity of polygamma functions. Zbl 1474.33008
Guo, Bai-Ni; Qi, Feng; Luo, Qiu-Ming
2015
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
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
Viewing some ordinary differential equations from the angle of derivative polynomials. Zbl 07426499
Guo, Bai-Ni; Qi, Feng
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
Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios. Zbl 1476.11060
Shuang, Ye; Guo, Bai-Ni; Qi, Feng
2021
Closed formulas and identities on the Bell polynomials and falling factorials. Zbl 1471.11102
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
2020
Some properties and an application of multivariate exponential polynomials. Zbl 1471.11113
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
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
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
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
On complete monotonicity of linear combination of finite psi functions. Zbl 1429.33005
Guo, Bai-Ni; Qi, Feng
2019
On integral inequalities of Hermite-Hadamard type for coordinated $$r$$-mean convex functions. Zbl 1449.26029
Gao, Dan-Dan; Xi, Bo-Yan; Wu, Ying; Guo, Bai-Ni
2019
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
2018
Lévy-Khintchine representation of Toader-Qi mean. Zbl 1384.44002
Qi, Feng; Guo, Bai-Ni
2018
Simplifying differential equations concerning degenerate Bernoulli and Euler numbers. Zbl 1391.34028
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Closed forms for derangement numbers in terms of the Hessenberg determinants. Zbl 1401.05017
Qi, Feng; Zhao, Jiao-Lian; 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
Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. Zbl 07031663
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2018
The reciprocal of the weighted geometric mean is a Stieltjes function. Zbl 1390.30048
Qi, Feng; Guo, Bai-Ni
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
A diagonal recurrence relation for the Stirling numbers of the first kind. Zbl 07407812
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
On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function. Zbl 1439.11087
Qi, Feng; Guo, Bai-Ni
2018
A representation for derangement numbers in terms of a tridiagonal determinant. Zbl 07386863
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body. Zbl 1393.33002
Qi, Feng; Mortici, Cristinel; Guo, Bai-Ni
2018
Some identities related to Eulerian polynomials and involving the Stirling numbers. Zbl 07407830
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
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
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
Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1432.11014
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
Some explicit and recursive formulas of the large and little Schröder numbers. Zbl 1413.11135
Qi, Feng; Guo, Bai-Ni
2017
Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. Zbl 1460.11028
Qi, Feng; Guo, Bai-Ni
2017
The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform. Zbl 1360.30029
Qi, Feng; Guo, Bai-Ni
2017
Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers. Zbl 07390794
Qi, Feng; Guo, Bai-Ni
2017
An explicit formula for derivative polynomials of the tangent function. Zbl 1390.26005
Qi, Feng; Guo, Bai-Ni
2017
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
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
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 a function related to the Catalan-Qi function. Zbl 1419.11046
Qi, Feng; Guo, Bai-Ni
2016
Some determinantal expressions and recurrence relations of the Bernoulli polynomials. Zbl 1375.11021
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
Some properties of the Schröder numbers. Zbl 1365.05018
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2016
A recovery of two determinantal representations for derangement numbers. Zbl 1438.11052
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2016
An inequality involving the gamma and digamma functions. Zbl 1339.33006
Qi, Feng; 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
Sharp inequalities for polygamma functions. Zbl 1349.33001
Guo, Bai-Ni; Qi, Feng; Zhao, Jiao-Lian; Luo, Qiu-Ming
2015
On the degree of the weighted geometric mean as a complete Bernstein function. Zbl 1329.26054
Guo, Bai-Ni; Qi, Feng
2015
On the Wallis formula. Zbl 1386.33001
Guo, Bai-Ni; Qi, Feng
2015
Six proofs for an identity of the Lah numbers. Zbl 1306.05014
Guo, Bai-Ni; Qi, Feng
2015
The additivity of polygamma functions. Zbl 1474.33008
Guo, Bai-Ni; Qi, Feng; Luo, Qiu-Ming
2015
Remarks on complete monotonicity of a function involving the gamma function. Zbl 1342.26027
Qi, F.; Guo, B. N.
2015
Some identities and an explicit formula for Bernoulli and Stirling numbers. Zbl 1291.11051
Guo, Bai-Ni; Qi, Feng
2014
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. Zbl 1376.11015
Guo, Bai-Ni; Qi, Feng
2014
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
2014
Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. Zbl 1354.11020
Qi, Feng; Guo, Bai-Ni
2014
The function $${(b^x-a^x)/x}$$: ratio’s properties. Zbl 1329.26006
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2014
Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers. Zbl 1331.11014
Guo, Bai-Ni; Qi, Feng
2014
A class of completely monotonic functions involving the gamma and polygamma functions. Zbl 1339.33004
Guo, Bai-Ni; Qi, Feng
2014
Complete monotonicity of functions connected with the exponential function and derivatives. Zbl 1474.33005
Wei, Chun-Fu; Guo, Bai-Ni
2014
Refinements of lower bounds for polygamma functions. Zbl 1267.33003
Guo, Bai-Ni; Qi, Feng
2013
Complete monotonicity of a function involving the divided difference of digamma functions. Zbl 1286.26007
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2013
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
Monotonicity and logarithmic convexity relating to the volume of the unit ball. Zbl 1276.26029
Guo, Bai-Ni; Qi, Feng
2013
On proofs for monotonicity of a function involving the psi and exponential functions. Zbl 1273.33004
Li, Wen-Hui; Qi, Feng; Guo, Bai-Ni
2013
A completely monotonic function involving the tri-gamma function and with degree one. Zbl 1245.26007
Guo, Bai-Ni; Qi, Feng
2012
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 refinement of a double inequality for the gamma function. Zbl 1265.26026
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
2012
Sharpening and generalizations of Shafer’s inequality for the arc sine function. Zbl 1247.33002
Qi, Feng; Guo, Bai-Ni
2012
Remarks on inequalities for the tangent function. Zbl 1273.26019
Zhao, Jiao-Lian; Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
2012
Complete monotonicity of two functions involving the tri- and tetra-gamma functions. Zbl 1289.26024
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
2012
Monotonicity of functions connected with the gamma function and the volume of the unit ball. Zbl 1253.33002
Guo, Bai-Ni; Qi, Feng
2012
Sharpening and generalizations of Carlson’s double inequality for the arc cosine function. Zbl 1282.26021
Zhao, Jiao-Lian; Wei, Chun-Fu; Guo, Bai-Ni; Qi, Feng
2012
A simple proof of Oppenheim’s double inequality relating to the cosine and sine functions. Zbl 1257.26012
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2012
Logarithmic convexity of Gini means. Zbl 1257.26033
Zhao, Jiao-Lian; Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
2012
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
Some bounds for the complete elliptic integrals of the first and second kinds. Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
2011
Sharp bounds for harmonic numbers. Zbl 1229.11027
Guo, Bai-Ni; Qi, Feng
2011
The function $$(b^x-a^x)/x$$ logarithmic convexity and applications to extended mean values. Zbl 1265.26029
Guo, Bai-Ni; Qi, Feng
2011
An alternative proof of Elezović-Giordano-Pečarić’s theorem. Zbl 1207.26019
Guo, Bai-Ni; Qi, Feng
2011
An extension of an inequality for ratios of gamma functions. Zbl 1230.33005
Guo, Bai-Ni; Qi, Feng
2011
Complete monotonicity of some functions involving polygamma functions. Zbl 1188.26007
Qi, Feng; Guo, Senlin; Guo, Bai-Ni
2010
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
Two new proofs of the complete monotonicity of a function involving the psi function. Zbl 1183.33002
Guo, Bai-Ni; Qi, Feng
2010
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
Some properties of the psi and polygamma functions. Zbl 1203.33002
Guo, Bai-Ni; Qi, Feng
2010
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
Some logarithmically completely monotonic functions related to the gamma function. Zbl 1208.26017
Qi, Feng; Guo, Bai-Ni
2010
Some properties of extended remainder of Binet’s first formula for logarithm of gamma function. Zbl 1240.26019
Qui, Feng; Guo, Bai-Ni
2010
A logarithmically completely monotonic function involving the gamma function. Zbl 1216.26006
Qi, Feng; Guo, Bai-Ni
2010
Sharpening and generalizations of Carlson’s inequality for the arc cosine function. Zbl 1216.33003
Guo, Bai-Ni; Qi, Feng
2010
Refinements, generalizations, and applications of Jordan’s inequality and related problems. Zbl 1175.26048
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2009
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
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
Sharpening and generalizations of Shafer’s inequality for the arc tangent function. Zbl 1175.26049
Qi, Feng; Zhang, Shi-Qin; Guo, Bai-Ni
2009
A concise proof for properties of three functions involving the exponential function. Zbl 1175.26025
Zhang, Shi-Qin; Guo, Bai-Ni; Qi, Feng
2009
Monotonicity results and inequalities for inverse hyperbolic sine. Zbl 1212.26018
Zhang, Shiqin; Guo, Baini
2009
...and 31 more Documents
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### Cited by 355 Authors

 156 Qi, Feng 72 Guo, Bai-Ni 37 Chu, Yuming 36 Yang, Zhenhang 17 Chen, Chaoping 17 Srivastava, Hari Mohan 15 Tian, Jingfeng 13 Guo, Senlin 12 Lim, Dongkyu 12 Yin, Li 12 Zhu, Ling 10 Choi, Junesang 10 Wang, Miaokun 9 Luo, Qiuming 9 Mortici, Cristinel 9 Zhao, Tiehong 8 Malešević, Branko J. 8 Niu, Dawei 8 Qian, Weimao 7 Huang, Liguo 7 Shi, Xiaoting 6 Batir, Necdet 6 Cerone, Pietro 6 Li, Wenhui 6 Lin, Xiuli 6 Zhao, Jiaolian 5 Bercu, Gabriel 5 Berg, Christian 5 Chen, Xiaodiao 5 Khan, Nabiullah U. 5 Mahmoud, Mansour 5 Mehrez, Khaled 5 Qiu, Songliang 5 Sooppy Nisar, Kottakkaran 5 Wang, Jing-Lin 5 Wu, Shanhe 5 Xu, Aimin 5 Zhang, Wen 5 Zheng, Shenzhou 4 Araci, Serkan 4 Chen, Shouxin 4 Jiang, Yueping 4 Liu, Fangfang 4 Rahman, Gauhar 4 Usman, Talha 4 Wang, Yongli 4 Zhang, Xiaohui 3 Acikgoz, Mehmet 3 Cen, Zhongdi 3 Das, Sourav 3 Dixit, Atul 3 Dragomir, Sever Silvestru 3 Karp, Dmitriĭ Borisovich 3 Liu, Aiqi 3 Lutovac, Tatjana 3 Paris, Richard Bruce 3 Rašajski, Marija 3 Simsek, Yilmaz 3 Wang, Yigang 3 Wei, Chunfu 2 Adell, José Antonio 2 Agarwal, Ravi P. 2 Bagul, Yogesh J. 2 Cao, Jian 2 Chammam, Wathek 2 Chu, Hong-Hu 2 da Fonseca, Carlos Martins 2 Dağli, Muhammet Cihat 2 Debnath, Lokenath 2 Ismail, Mourad El-Houssieny 2 Khan, Waseem Ahmad 2 Koumandos, Stamatis 2 Kupán, Pál Aurel 2 Kurt, Burak 2 Lampret, Vito 2 Lekuona, Alberto 2 Li, Yongmin 2 Liang, Lichun 2 Liu, Zhiming 2 Ma, Xiaoyan 2 Matejíčka, Ladislav 2 Mubeen, Shahid 2 Nishizawa, Yusuke 2 Pedersen, Henrik Laurberg 2 Pogány, Tibor K. 2 Qiu, Yefang 2 Roy, Arindam 2 Song, Zhimin 2 Srivastava, Divesh 2 Szasz, Robert Zoltan 2 Vuorinen, Matti Keijo Kustaa 2 Xia, Weifeng 2 Xu, Huizuo 2 Zaharescu, Alexandru 2 Zhang, Jumei 2 Zhang, Xiaojing 2 Zheng, Miaomiao 1 Abel, Ulrich 1 Agoh, Takashi 1 Ağyüz, Erkan ...and 255 more Authors
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### Cited in 126 Serials

 65 Journal of Inequalities and Applications 32 Applied Mathematics and Computation 21 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 20 Journal of Mathematical Analysis and Applications 18 Journal of Computational and Applied Mathematics 17 Integral Transforms and Special Functions 9 Abstract and Applied Analysis 9 Applicable Analysis and Discrete Mathematics 9 Acta Universitatis Sapientiae. Mathematica 9 AIMS Mathematics 8 Results in Mathematics 8 Advances in Difference Equations 6 Journal of Mathematical Inequalities 5 Mathematica Slovaca 5 Proceedings of the American Mathematical Society 5 Mathematical and Computer Modelling 5 Mathematical Inequalities & Applications 5 Mediterranean Journal of Mathematics 5 Mathematics 4 Indian Journal of Pure & Applied Mathematics 4 Rocky Mountain Journal of Mathematics 4 Journal of Approximation Theory 4 Analysis (München) 4 Integers 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Periodica Mathematica Hungarica 3 Journal of Number Theory 3 Applied Mathematics Letters 3 Georgian Mathematical Journal 3 Filomat 3 Kragujevac Journal of Mathematics 3 Hacettepe Journal of Mathematics and Statistics 3 Symmetry 3 Problemy Analiza. Issues of Analysis 3 Journal of Mathematics 3 Open Mathematics 2 Computers & Mathematics with Applications 2 Discrete Mathematics 2 Demonstratio Mathematica 2 International Journal of Mathematics and Mathematical Sciences 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Bulletin of the Iranian Mathematical Society 2 Statistics 2 Constructive Approximation 2 Aequationes Mathematicae 2 Communications in Statistics. Theory and Methods 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Bernoulli 2 Mathematical Problems in Engineering 2 The Ramanujan Journal 2 Communications of the Korean Mathematical Society 2 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Applied Mathematics E-Notes 2 Computational Methods and Function Theory 2 The Australian Journal of Mathematical Analysis and Applications 2 Cubo 2 Electronic Journal of Statistics 2 Banach Journal of Mathematical Analysis 2 Tbilisi Mathematical Journal 2 ISRN Mathematical Analysis 2 Analysis and Mathematical Physics 2 Journal of Classical Analysis 2 Cogent Mathematics 2 Transactions of A. Razmadze Mathematical Institute 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Journal of the Korean Mathematical Society 1 Mathematics of Operations Research 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Differential Geometry and its Applications 1 Computational Statistics 1 Indagationes Mathematicae. New Series 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Electronic Journal of Probability 1 Arab Journal of Mathematical Sciences 1 Finance and Stochastics 1 Journal of Applied Analysis 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of Integer Sequences 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Acta Mathematica Sinica. English Series 1 The ANZIAM Journal 1 Journal of Applied Mathematics ...and 26 more Serials
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### Cited in 36 Fields

 265 Special functions (33-XX) 263 Real functions (26-XX) 127 Number theory (11-XX) 54 Combinatorics (05-XX) 36 Integral transforms, operational calculus (44-XX) 35 Approximations and expansions (41-XX) 21 Numerical analysis (65-XX) 19 Functions of a complex variable (30-XX) 19 Probability theory and stochastic processes (60-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 13 Ordinary differential equations (34-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Sequences, series, summability (40-XX) 11 Statistics (62-XX) 6 Difference and functional equations (39-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)