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Author ID: guo.bai-ni Recent zbMATH articles by "Guo, Bai-Ni"
Published as: Guo, Bai-Ni; Guo, Baini; Guo, Bai Ni; Guo, B. N.; Guo, B.-N.
External Links: ORCID · arXiv · ResearchGate
all top 5

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
5 Applicable Analysis and Discrete Mathematics
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 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 Mathematics in Practice and Theory
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 Debrecen
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

Publications by Year

Citations contained in zbMATH Open

146 Publications have been cited 1,614 times in 558 Documents Cited by Year
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1094.33002
Qi, Feng; Guo, Baini; Chen, Chaoping
45
2006
Complete monotonicity of some functions involving polygamma functions. Zbl 1188.26007
Qi, Feng; Guo, Senlin; Guo, Bai-Ni
42
2010
Refinements, generalizations, and applications of Jordan’s inequality and related problems. Zbl 1175.26048
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
39
2009
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
39
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
35
2005
Two new proofs of the complete monotonicity of a function involving the psi function. Zbl 1183.33002
Guo, Bai-Ni; Qi, Feng
33
2010
Some identities and an explicit formula for Bernoulli and Stirling numbers. Zbl 1291.11051
Guo, Bai-Ni; Qi, Feng
33
2014
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
28
2010
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. Zbl 1376.11015
Guo, Bai-Ni; Qi, Feng
28
2014
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
27
2017
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
27
2019
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
26
2018
Integral representations of the Catalan numbers and their applications. Zbl 1402.11032
Qi, Feng; Guo, Bai-Ni
25
2017
Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications. Zbl 1181.26024
Qi, Feng; Guo, Bai-Ni
25
2009
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
25
2011
Sharp inequalities for polygamma functions. Zbl 1349.33001
Guo, Bai-Ni; Qi, Feng; Zhao, Jiao-Lian; Luo, Qiu-Ming
25
2015
Some bounds for the complete elliptic integrals of the first and second kinds. Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
24
2011
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
24
2014
On new proofs of Wilker’s inequalities involving trigonometric functions. Zbl 1040.26006
Guo, Bai-Ni; Qiao, Bao-Min; Qi, Feng; Li, Wei
23
2003
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
23
2017
Some properties of the psi and polygamma functions. Zbl 1203.33002
Guo, Bai-Ni; Qi, Feng
23
2010
Refinements of lower bounds for polygamma functions. Zbl 1267.33003
Guo, Bai-Ni; Qi, Feng
23
2013
Generalizations of Bernoulli numbers and polynomials. Zbl 1038.11013
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng; Debnath, Lokenath
22
2003
Wendel’s and Gautschi’s inequalities: refinements, extensions, and a class of logarithmically completely monotonic functions. Zbl 1173.26315
Qi, Feng; Guo, Bai-Ni
22
2008
A completely monotonic function involving the tri-gamma function and with degree one. Zbl 1245.26007
Guo, Bai-Ni; Qi, Feng
21
2012
The best bounds in Gautschi-Kershaw inequalities. Zbl 1101.33001
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping
21
2006
Properties and applications of a function involving exponential functions. Zbl 1179.33001
Guo, Bai-Ni; Qi, Feng
19
2009
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.
19
2010
Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. Zbl 1429.11056
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
19
2019
A diagonal recurrence relation for the Stirling numbers of the first kind. Zbl 1488.11060
Qi, Feng; Guo, Bai-Ni
18
2018
Generalization of Bernoulli polynomials. Zbl 1021.11003
Guo, Bai-Ni; Qi, Feng
17
2002
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
16
2008
Logarithmically complete monotonicity of a function related to the Catalan-Qi function. Zbl 1419.11046
Qi, Feng; Guo, Bai-Ni
16
2016
A completely monotonic function involving the tri- and tetra-gamma functions. Zbl 1349.26024
Guo, Bai-Ni; Zhao, Jiao-Lian; Qi, Feng
16
2013
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
15
2016
Closed formulas and identities on the Bell polynomials and falling factorials. Zbl 1471.11102
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
15
2020
Complete monotonicity of a function involving the divided difference of digamma functions. Zbl 1286.26007
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
15
2013
A refinement of a double inequality for the gamma function. Zbl 1265.26026
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
14
2012
Sharp bounds for harmonic numbers. Zbl 1229.11027
Guo, Bai-Ni; Qi, Feng
14
2011
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
14
2016
Some determinantal expressions and recurrence relations of the Bernoulli polynomials. Zbl 1375.11021
Qi, Feng; Guo, Bai-Ni
14
2016
Explicit formulas and recurrence relations for higher order Eulerian polynomials. Zbl 1377.11030
Qi, Feng; Guo, Bai-Ni
14
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
14
2013
On the degree of the weighted geometric mean as a complete Bernstein function. Zbl 1329.26054
Guo, Bai-Ni; Qi, Feng
14
2015
Some logarithmically completely monotonic functions related to the gamma function. Zbl 1208.26017
Qi, Feng; Guo, Bai-Ni
14
2010
Closed forms for derangement numbers in terms of the Hessenberg determinants. Zbl 1401.05017
Qi, Feng; Zhao, Jiao-Lian; Guo, Bai-Ni
14
2018
A simple proof of logarithmic convexity of extended mean values. Zbl 1184.26028
Guo, Bai-Ni; Qi, Feng
13
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
13
2012
The function \((b^x-a^x)/x\) logarithmic convexity and applications to extended mean values. Zbl 1265.26029
Guo, Bai-Ni; Qi, Feng
13
2011
A class of completely monotonic functions involving the polygamma functions. Zbl 1204.33002
Guo, Bai-Ni; Chen, Rong-Jiang; Qi, Feng
12
2006
Complete monotonicity of divided differences of the di- and tri-gamma functions with applications. Zbl 1339.33007
Qi, Feng; Guo, Bai-Ni
12
2016
An extension of an inequality for ratios of gamma functions. Zbl 1230.33005
Guo, Bai-Ni; Qi, Feng
11
2011
Lévy-Khintchine representation of Toader-Qi mean. Zbl 1384.44002
Qi, Feng; Guo, Bai-Ni
11
2018
Sharpening and generalizations of Shafer’s inequality for the arc tangent function. Zbl 1175.26049
Qi, Feng; Zhang, Shi-Qin; Guo, Bai-Ni
11
2009
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
11
2021
Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1432.11014
Qi, Feng; Guo, Bai-Ni
11
2017
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
10
2008
An alternative proof of Elezović-Giordano-Pečarić’s theorem. Zbl 1207.26019
Guo, Bai-Ni; Qi, Feng
10
2011
On the Wallis formula. Zbl 1386.33001
Guo, Bai-Ni; Qi, Feng
10
2015
Six proofs for an identity of the Lah numbers. Zbl 1306.05014
Guo, Bai-Ni; Qi, Feng
10
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
10
2021
Monotonicity and logarithmic convexity relating to the volume of the unit ball. Zbl 1276.26029
Guo, Bai-Ni; Qi, Feng
10
2013
Some properties of extended remainder of Binet’s first formula for logarithm of gamma function. Zbl 1240.26019
Qui, Feng; Guo, Bai-Ni
10
2010
Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios. Zbl 1476.11060
Shuang, Ye; Guo, Bai-Ni; Qi, Feng
10
2021
Simplifying differential equations concerning degenerate Bernoulli and Euler numbers. Zbl 1391.34028
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
9
2018
Inequalities and monotonicity for the ratio of gamma functions. Zbl 1050.26012
Guo, Bai-Ni; Qi, Feng
9
2003
Some properties of the Schröder numbers. Zbl 1365.05018
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
9
2016
A concise proof for properties of three functions involving the exponential function. Zbl 1175.26025
Zhang, Shi-Qin; Guo, Bai-Ni; Qi, Feng
8
2009
Sharpening and generalizations of Shafer’s inequality for the arc sine function. Zbl 1247.33002
Qi, Feng; Guo, Bai-Ni
8
2012
Notes on double inequalities of Mathieu’s series. Zbl 1086.26015
Qi, Feng; Chen, Chao-Ping; Guo, Bai-Ni
8
2005
Refinements and sharpenings of some double inequalities for bounding the gamma function. Zbl 1168.33301
Guo, Bai-Ni; Zhang, Ying-Jie; Qi, Feng
8
2008
Some explicit and recursive formulas of the large and little Schröder numbers. Zbl 1413.11135
Qi, Feng; Guo, Bai-Ni
8
2017
Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. Zbl 1460.11028
Qi, Feng; Guo, Bai-Ni
8
2017
Some logarithmically completely monotonic functions and inequalities for multinomial coefficients. Zbl 1499.26026
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
8
2020
Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers. Zbl 1488.11069
Qi, Feng; Guo, Bai-Ni
8
2017
The inverse of a triangular matrix and several identities of the Catalan numbers. Zbl 1513.11091
Qi, Feng; Zou, Qing; Guo, Bai-Ni
8
2019
On evaluation of Riemann zeta function \(\zeta(s)\). Zbl 1037.11058
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
7
2003
Monotonicity of sequences involving convex function and sequence. Zbl 1093.26024
Qi, F.; Guo, B.-N.
7
2006
Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. Zbl 1354.11020
Qi, Feng; Guo, Bai-Ni
7
2014
The function \({(b^x-a^x)/x}\): ratio’s properties. Zbl 1329.26006
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
7
2014
A closed form for the Stirling polynomials in terms of the Stirling numbers. Zbl 1432.11025
Qi, Feng; Guo, Bai-Ni
7
2017
Complete monotonicity of two functions involving the tri- and tetra-gamma functions. Zbl 1289.26024
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
7
2012
Monotonicity of functions connected with the gamma function and the volume of the unit ball. Zbl 1253.33002
Guo, Bai-Ni; Qi, Feng
7
2012
Remarks on inequalities for the tangent function. Zbl 1273.26019
Zhao, Jiao-Lian; Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
7
2012
Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers. Zbl 1438.11064
Qi, Feng; Guo, Bai-Ni
7
2016
A recovery of two determinantal representations for derangement numbers. Zbl 1438.11052
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
7
2016
A function involving gamma function and having logarithmically absolute convexity. Zbl 1131.26008
Qi, Feng; Guo, Bai-Ni; Guo, Senlin; Chen, Shou-Xin
6
2007
On Steffensen pairs. Zbl 1014.26019
Qi, Feng; Guo, Bai-Ni
6
2002
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
6
2019
Simplifying and finding ordinary differential equations in terms of the Stirling numbers. Zbl 1440.11012
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
6
2018
Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions. Zbl 1484.11084
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng
6
2021
The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function. Zbl 1400.30046
Qi, Feng; Guo, Bai-Ni
6
2018
A representation for derangement numbers in terms of a tridiagonal determinant. Zbl 1488.11070
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
6
2018
Some identities related to Eulerian polynomials and involving the Stirling numbers. Zbl 1488.11061
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
6
2018
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
6
2012
On proofs for monotonicity of a function involving the psi and exponential functions. Zbl 1273.33004
Li, Wen-Hui; Qi, Feng; Guo, Bai-Ni
6
2013
The reciprocal of the weighted geometric mean is a Stieltjes function. Zbl 1390.30048
Qi, Feng; Guo, Bai-Ni
5
2018
Inequalities for generalized weighted mean values of convex function. Zbl 0987.26019
Guo, Bai-Ni; Qi, Feng
5
2001
An inequality between ratio of the extended logarithmic means and ratio of the exponential means. Zbl 1050.26020
Qi, Feng; Guo, Bai-Ni
5
2003
Generalizations of a theorem of I.Schur. Zbl 1156.26301
Qi, Feng; Li, Wei; Guo, Bai-Ni
5
2006
Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function. Zbl 1513.41041
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng
1
2022
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
11
2021
From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. Zbl 1451.33002
Qi, Feng; Guo, Bai-Ni
10
2021
Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios. Zbl 1476.11060
Shuang, Ye; Guo, Bai-Ni; Qi, Feng
10
2021
Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions. Zbl 1484.11084
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng
6
2021
Viewing some ordinary differential equations from the angle of derivative polynomials. Zbl 1505.34023
Guo, Bai-Ni; Qi, Feng
5
2021
Necessary and sufficient conditions on the Schur convexity of a bivariate mean. Zbl 1484.26114
Yin, Hong-Ping; Liu, Xi-Min; Wang, Jing-Yu; Guo, Bai-Ni
3
2021
Determinantal formulas and recurrent relations for bi-periodic Fibonacci and Lucas polynomials. Zbl 1487.11015
Guo, Bai-Ni; Polatlı, Emrah; Qi, Feng
3
2021
Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces. Zbl 1488.41035
Han, L.-X.; Guo, B.-N.
2
2021
Some properties of the Hermite polynomials. Zbl 1494.33010
Qi, Feng; Guo, Bai-Ni
1
2021
Several explicit and recurrent formulas for determinants of tridiagonal matrices via generalized continued fractions. Zbl 1464.15011
Qi, Feng; Wang, Wen; Guo, Bai-Ni; Lim, Dongkyu
1
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
15
2020
Some logarithmically completely monotonic functions and inequalities for multinomial coefficients. Zbl 1499.26026
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
8
2020
Several explicit and recursive formulas for generalized Motzkin numbers. Zbl 1484.05017
Qi, Feng; Guo, Bai-Ni
5
2020
Some properties and an application of multivariate exponential polynomials. Zbl 1471.11113
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
5
2020
Monotonicity and inequalities related to complete elliptic integrals of the second kind. Zbl 1484.33024
Wang, Fei; Guo, Bai-Ni; Qi, Feng
2
2020
On GT-convexity and related integral inequalities. Zbl 1484.26097
Wang, Shu-Hong; Sun, Xiao-Wei; Guo, Bai-Ni
1
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
27
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
19
2019
The inverse of a triangular matrix and several identities of the Catalan numbers. Zbl 1513.11091
Qi, Feng; Zou, Qing; Guo, Bai-Ni
8
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
6
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
5
2019
On complete monotonicity of linear combination of finite psi functions. Zbl 1429.33005
Guo, Bai-Ni; Qi, Feng
4
2019
Equivalent theorem of approximation by linear combination of weighted Baskakov-Kantorovich operators in Orlicz spaces. Zbl 1499.41017
Han, Ling-Xiong; Guo, Bai-Ni; Qi, Feng
2
2019
Generalizations and applications of Young’s integral inequality by higher order derivatives. Zbl 1499.26197
Wang, Jun-Qing; Guo, Bai-Ni; Qi, Feng
2
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
1
2019
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
26
2018
A diagonal recurrence relation for the Stirling numbers of the first kind. Zbl 1488.11060
Qi, Feng; Guo, Bai-Ni
18
2018
Closed forms for derangement numbers in terms of the Hessenberg determinants. Zbl 1401.05017
Qi, Feng; Zhao, Jiao-Lian; Guo, Bai-Ni
14
2018
Lévy-Khintchine representation of Toader-Qi mean. Zbl 1384.44002
Qi, Feng; Guo, Bai-Ni
11
2018
Simplifying differential equations concerning degenerate Bernoulli and Euler numbers. Zbl 1391.34028
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
9
2018
Simplifying and finding ordinary differential equations in terms of the Stirling numbers. Zbl 1440.11012
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
6
2018
The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function. Zbl 1400.30046
Qi, Feng; Guo, Bai-Ni
6
2018
A representation for derangement numbers in terms of a tridiagonal determinant. Zbl 1488.11070
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
6
2018
Some identities related to Eulerian polynomials and involving the Stirling numbers. Zbl 1488.11061
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
6
2018
The reciprocal of the weighted geometric mean is a Stieltjes function. Zbl 1390.30048
Qi, Feng; Guo, Bai-Ni
5
2018
Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. Zbl 1497.34002
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
5
2018
Integral representations of the large and little Schröder numbers. Zbl 1398.05031
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
5
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
3
2018
On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function. Zbl 1439.11087
Qi, Feng; Guo, Bai-Ni
3
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
27
2017
Integral representations of the Catalan numbers and their applications. Zbl 1402.11032
Qi, Feng; Guo, Bai-Ni
25
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
23
2017
Explicit formulas and recurrence relations for higher order Eulerian polynomials. Zbl 1377.11030
Qi, Feng; Guo, Bai-Ni
14
2017
Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1432.11014
Qi, Feng; Guo, Bai-Ni
11
2017
Some explicit and recursive formulas of the large and little Schröder numbers. Zbl 1413.11135
Qi, Feng; Guo, Bai-Ni
8
2017
Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. Zbl 1460.11028
Qi, Feng; Guo, Bai-Ni
8
2017
Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers. Zbl 1488.11069
Qi, Feng; Guo, Bai-Ni
8
2017
A closed form for the Stirling polynomials in terms of the Stirling numbers. Zbl 1432.11025
Qi, Feng; Guo, Bai-Ni
7
2017
The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform. Zbl 1360.30029
Qi, Feng; Guo, Bai-Ni
4
2017
An explicit formula for derivative polynomials of the tangent function. Zbl 1390.26005
Qi, Feng; Guo, Bai-Ni
2
2017
Logarithmically complete monotonicity of a function related to the Catalan-Qi function. Zbl 1419.11046
Qi, Feng; Guo, Bai-Ni
16
2016
Two explicit formulas of the Schröder numbers. Zbl 1351.05021
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
15
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
14
2016
Some determinantal expressions and recurrence relations of the Bernoulli polynomials. Zbl 1375.11021
Qi, Feng; Guo, Bai-Ni
14
2016
Complete monotonicity of divided differences of the di- and tri-gamma functions with applications. Zbl 1339.33007
Qi, Feng; Guo, Bai-Ni
12
2016
Some properties of the Schröder numbers. Zbl 1365.05018
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
9
2016
Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers. Zbl 1438.11064
Qi, Feng; Guo, Bai-Ni
7
2016
A recovery of two determinantal representations for derangement numbers. Zbl 1438.11052
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
7
2016
An inequality involving the gamma and digamma functions. Zbl 1339.33006
Qi, Feng; Guo, Bai-Ni
3
2016
Some inequalities and absolute monotonicity for modified Bessel functions of the first kind. Zbl 1338.33016
Guo, Bai-Ni; Qi, Feng
2
2016
Sharp inequalities for polygamma functions. Zbl 1349.33001
Guo, Bai-Ni; Qi, Feng; Zhao, Jiao-Lian; Luo, Qiu-Ming
25
2015
On the degree of the weighted geometric mean as a complete Bernstein function. Zbl 1329.26054
Guo, Bai-Ni; Qi, Feng
14
2015
On the Wallis formula. Zbl 1386.33001
Guo, Bai-Ni; Qi, Feng
10
2015
Six proofs for an identity of the Lah numbers. Zbl 1306.05014
Guo, Bai-Ni; Qi, Feng
10
2015
The additivity of polygamma functions. Zbl 1474.33008
Guo, Bai-Ni; Qi, Feng; Luo, Qiu-Ming
4
2015
Remarks on complete monotonicity of a function involving the gamma function. Zbl 1342.26027
Qi, F.; Guo, B. N.
1
2015
Some identities and an explicit formula for Bernoulli and Stirling numbers. Zbl 1291.11051
Guo, Bai-Ni; Qi, Feng
33
2014
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. Zbl 1376.11015
Guo, Bai-Ni; Qi, Feng
28
2014
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
24
2014
Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. Zbl 1354.11020
Qi, Feng; Guo, Bai-Ni
7
2014
The function \({(b^x-a^x)/x}\): ratio’s properties. Zbl 1329.26006
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
7
2014
Complete monotonicity of functions connected with the exponential function and derivatives. Zbl 1474.33005
Wei, Chun-Fu; Guo, Bai-Ni
5
2014
Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers. Zbl 1331.11014
Guo, Bai-Ni; Qi, Feng
4
2014
A class of completely monotonic functions involving the gamma and polygamma functions. Zbl 1339.33004
Guo, Bai-Ni; Qi, Feng
3
2014
Refinements of lower bounds for polygamma functions. Zbl 1267.33003
Guo, Bai-Ni; Qi, Feng
23
2013
A completely monotonic function involving the tri- and tetra-gamma functions. Zbl 1349.26024
Guo, Bai-Ni; Zhao, Jiao-Lian; Qi, Feng
16
2013
Complete monotonicity of a function involving the divided difference of digamma functions. Zbl 1286.26007
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
15
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
14
2013
Monotonicity and logarithmic convexity relating to the volume of the unit ball. Zbl 1276.26029
Guo, Bai-Ni; Qi, Feng
10
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
6
2013
A completely monotonic function involving the tri-gamma function and with degree one. Zbl 1245.26007
Guo, Bai-Ni; Qi, Feng
21
2012
A refinement of a double inequality for the gamma function. Zbl 1265.26026
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
14
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
13
2012
Sharpening and generalizations of Shafer’s inequality for the arc sine function. Zbl 1247.33002
Qi, Feng; Guo, Bai-Ni
8
2012
Complete monotonicity of two functions involving the tri- and tetra-gamma functions. Zbl 1289.26024
Zhao, Jiao-Lian; Guo, Bai-Ni; Qi, Feng
7
2012
Monotonicity of functions connected with the gamma function and the volume of the unit ball. Zbl 1253.33002
Guo, Bai-Ni; Qi, Feng
7
2012
Remarks on inequalities for the tangent function. Zbl 1273.26019
Zhao, Jiao-Lian; Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
7
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
6
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
5
2012
Logarithmic convexity of Gini means. Zbl 1257.26033
Zhao, Jiao-Lian; Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng
1
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
25
2011
Some bounds for the complete elliptic integrals of the first and second kinds. Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
24
2011
Sharp bounds for harmonic numbers. Zbl 1229.11027
Guo, Bai-Ni; Qi, Feng
14
2011
The function \((b^x-a^x)/x\) logarithmic convexity and applications to extended mean values. Zbl 1265.26029
Guo, Bai-Ni; Qi, Feng
13
2011
An extension of an inequality for ratios of gamma functions. Zbl 1230.33005
Guo, Bai-Ni; Qi, Feng
11
2011
An alternative proof of Elezović-Giordano-Pečarić’s theorem. Zbl 1207.26019
Guo, Bai-Ni; Qi, Feng
10
2011
Complete monotonicity of some functions involving polygamma functions. Zbl 1188.26007
Qi, Feng; Guo, Senlin; Guo, Bai-Ni
42
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
39
2010
Two new proofs of the complete monotonicity of a function involving the psi function. Zbl 1183.33002
Guo, Bai-Ni; Qi, Feng
33
2010
...and 46 more Documents
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Cited by 466 Authors

183 Qi, Feng
77 Guo, Bai-Ni
41 Yang, Zhenhang
40 Chu, Yuming
19 Chen, Chaoping
19 Tian, Jingfeng
18 Srivastava, Hari Mohan
16 Lim, Dongkyu
14 Yin, Li
13 Guo, Senlin
13 Zhu, Ling
11 Wang, Miaokun
11 Zhao, Tiehong
10 Choi, Junesang
10 Malešević, Branko J.
9 Dağli, Muhammet Cihat
9 Luo, Qiuming
9 Mortici, Cristinel
9 Niu, Dawei
9 Qian, Weimao
8 Bagul, Yogesh Jibhau
7 Huang, Liguo
7 Li, Wenhui
7 Mehrez, Khaled
7 Shi, Xiaoting
6 Batir, Necdet
6 Cerone, Pietro
6 Chen, Xiaodiao
6 Lin, Xiuli
6 Xu, Aimin
6 Zhao, Jiaolian
6 Zheng, Shenzhou
5 Bercu, Gabriel
5 Berg, Christian
5 Khan, Nabiullah U.
5 Mahmoud, Mansour
5 Qiu, Songliang
5 Sooppy Nisar, Kottakkaran
5 Wang, Jing-Lin
5 Wu, Shanhe
5 Zhang, Wen
4 Araci, Serkan
4 Chen, Shouxin
4 Chesneau, Christophe
4 Das, Sourav
4 Dhaigude, Ramkrishna M.
4 Jiang, Yueping
4 Liu, Fangfang
4 Lutovac, Tatjana
4 Rahman, Gauhar
4 Rašajski, Marija
4 Ricci, Paolo Emilio
4 Usman, Talha
4 Wang, Fei
4 Wang, Yongli
4 Wei, Chunfu
4 Zhang, Xiaohui
3 Acikgoz, Mehmet
3 Cen, Zhongdi
3 Dixit, Atul
3 Dragomir, Sever Silvestru
3 Huang, TiRen
3 Karp, Dmitriĭ Borisovich
3 Khan, Waseem Ahmad
3 Liu, Aiqi
3 Ma, Xiaoyan
3 Nishizawa, Yusuke
3 Ouimet, Frédéric
3 Paris, Richard Bruce
3 Simsek, Yilmaz
3 Stewart, Seán Mark
3 Valdes, Juan Eduardo Napoles
3 Wang, Shuhong
3 Wang, Yigang
3 Xu, Huizuo
3 Zhang, Jumei
2 Adell, José Antonio
2 Agarwal, Ravi P.
2 Bayraktar, Bahtiyar
2 Belbachir, Hacene
2 Cao, Jian
2 Cereceda, José Luis
2 Chammam, Wathek
2 Chen, Lu
2 Chu, Hong-Hu
2 da Fonseca, Carlos Martins
2 Debnath, Lokenath
2 Du, Wei-Shih
2 Frontczak, Robert
2 Gao, Peng
2 Gasimov, Yusif S.
2 Genest, Christian
2 Goy, Taras P.
2 Han, Lingxiong
2 Han, Xuefeng
2 Ismail, Mourad El-Houssieny
2 Kızılateş, Can
2 Koumandos, Stamatis
2 Kupán, Pál Aurel
2 Kurt, Burak
...and 366 more Authors
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Cited in 157 Serials

72 Journal of Inequalities and Applications
32 Applied Mathematics and Computation
24 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
23 Journal of Mathematical Analysis and Applications
18 Journal of Computational and Applied Mathematics
18 Integral Transforms and Special Functions
12 Journal of Mathematical Inequalities
12 Applicable Analysis and Discrete Mathematics
10 Results in Mathematics
10 AIMS Mathematics
9 Mathematica Slovaca
9 Abstract and Applied Analysis
9 Acta Universitatis Sapientiae. Mathematica
8 Advances in Difference Equations
7 Mathematical Inequalities & Applications
7 Integers
6 Demonstratio Mathematica
6 Mediterranean Journal of Mathematics
6 Open Mathematics
5 Rocky Mountain Journal of Mathematics
5 Proceedings of the American Mathematical Society
5 Mathematical and Computer Modelling
5 Hacettepe Journal of Mathematics and Statistics
5 Tbilisi Mathematical Journal
5 Mathematics
4 International Journal of Mathematical Education in Science and Technology
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Approximation Theory
4 Turkish Journal of Mathematics
4 Analysis (München)
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Discrete Mathematics
3 Mathematical Methods in the Applied Sciences
3 Periodica Mathematica Hungarica
3 Journal of Number Theory
3 Applied Mathematics Letters
3 Journal of Mathematical Sciences (New York)
3 Georgian Mathematical Journal
3 Filomat
3 Journal of Integer Sequences
3 Acta et Commentationes Universitatis Tartuensis de Mathematica
3 Kragujevac Journal of Mathematics
3 Applied Mathematics E-Notes
3 The Australian Journal of Mathematical Analysis and Applications
3 Symmetry
3 Problemy Analiza. Issues of Analysis
3 Journal of Mathematics
3 DML. Discrete Mathematics Letters
2 Analysis Mathematica
2 Computers & Mathematics with Applications
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Applied Probability
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
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 Difference Equations and Applications
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 Mathematica Scientia. Series B. (English Edition)
2 Computational Methods and Function Theory
2 Cubo
2 International Journal of Number Theory
2 Contributions to Discrete Mathematics
2 Online Journal of Analytic Combinatorics
2 Electronic Journal of Statistics
2 Banach Journal of Mathematical Analysis
2 Asian-European Journal of Mathematics
2 São Paulo Journal of Mathematical Sciences
2 ISRN Mathematical Analysis
2 Analysis and Mathematical Physics
2 Journal of Classical Analysis
2 Fractional Differential Calculus
2 Cogent Mathematics
2 Transactions of A. Razmadze Mathematical Institute
2 Communications in Combinatorics and Optimization
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Acta Arithmetica
1 Acta Scientiarum Mathematicarum
1 Annales Polonici Mathematici
1 Hokkaido Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Mathematics of Operations Research
1 Numerical Functional Analysis and Optimization
1 Osaka Journal of Mathematics
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Statistica Neerlandica
1 Tamkang Journal of Mathematics
...and 57 more Serials
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Cited in 37 Fields

316 Special functions (33-XX)
310 Real functions (26-XX)
177 Number theory (11-XX)
83 Combinatorics (05-XX)
45 Approximations and expansions (41-XX)
38 Integral transforms, operational calculus (44-XX)
25 Functions of a complex variable (30-XX)
23 Numerical analysis (65-XX)
22 Probability theory and stochastic processes (60-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
19 Statistics (62-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Ordinary differential equations (34-XX)
12 Sequences, series, summability (40-XX)
9 Difference and functional equations (39-XX)
7 Operator theory (47-XX)
4 Functional analysis (46-XX)
4 Mathematics education (97-XX)
3 Field theory and polynomials (12-XX)
3 Group theory and generalizations (20-XX)
3 Partial differential equations (35-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Differential geometry (53-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Computer science (68-XX)
2 Operations research, mathematical programming (90-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 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

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