Inequalities for q-gamma function ratios

被引：3
|
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.
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页码：313 / 321
页数：9
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