A logarithmically completely monotonic function and several inequalities for q-multinominal coefficients and q-multivariate beta functions

被引：1

作者：

Qi, Feng ^{[1
,2
]}

机构：

[1] Henan Polytech Univ, Inst Math, Jiaozuo 454003, Peoples R China

[2] Hulunbuir Univ, Sch Math & Phys, Hulunbuir 021008, Inner Mongolia, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2024年 / 27卷 / 01期

关键词：

Logarithmically complete monotonicity; combinatorial inequality; q-gamma function; q-multinomial coefficient; q-multivariate beta function; GAMMA FUNCTIONS; TRIGAMMA; RATIO; REPRESENTATIONS; PROPERTY;

D O I：

10.7153/mia-2024-27-08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the author proves the logarithmically complete monotonicity of a function involving q-gamma functions and apply the logarithmically complete monotonicity to derive some inequalities for q-multinomial coefficients and q-multivariate beta functions. These conclusions generalize corresponding ones for gamma functions, multinomial coefficients, and multivariate beta functions, respectively.

引用

页码：115 / 126

页数：12

共 11 条

[1] SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS AND INEQUALITIES FOR MULTINOMIAL COEFFICIENTS AND MULTIVARIATE BETA FUNCTIONS
Qi, Feng
Niu, Da-Wei
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[2] Logarithmically completely monotonic functions related to the q-gamma function and its applications
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[3] A class of logarithmically completely monotonic functions related to the q-gamma function and applications
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Positivity, 2017, 21 : 495 - 507
[4] Logarithmically completely monotonic functions related to the q-gamma function and its applications
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ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (02)
[5] A class of logarithmically completely monotonic functions related to the q-gamma function and applications
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[6] LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GENERALIZED GAMMA AND q- GAMMA FUNCTIONS
Krasniqi, Valmir
Guo, Senlin
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2010, 1 (02): : 8 - 16
[7] A completely monotonic function involving q-gamma and q-digamma functions
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[8] SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE q-GAMMA FUNCTION
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MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 451 - 460
[9] An infinite class of completely monotonic functions involving the q-gamma function
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 406 (02) : 392 - 399
[10] COMMENTS ON TWO COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE q-TRIGAMMA FUNCTION
Qi, Feng
Liu, Fang-Fang
Shi, Xiao-Ting
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 211 - 217

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