Inequalities for q-gamma function ratios

被引：4

作者：

Das, Sourav ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Hamirpur 177005, Himachal Prades, India

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2019年 / 9卷 / 01期

关键词：

Gamma functions; Inequalities; q-analogue; Bohr-Mollerup theorem;

D O I：

10.1007/s13324-017-0198-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work inequalities for the ratios of q-gamma function are obtained which generalize the results obtained independently by Artin, Wendel, Gautschi and Jameson. Using these inequalities bounds for Gaussian binomial coefficients and q-Wallis ratio are derived and Bohr-Mollerup theorem is also proved as applications. The recent methods developed for gamma functions are used in order to obtain main results.

引用

页码：313 / 321

页数：9

共 18 条

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[Anonymous], 1999, SPECIAL FUNCTIONS

[2]

[Anonymous], 1978, Applicable Anal.

[3]

[Anonymous], 2004, ENCY MATH ITS APPL

[4]

Aral A, 2013, OPERATOR THEORY