Some inequalities for the ratio of gamma functions

Journal of inequalities and applications

Xiaodong Cao¹ 

关键词: gamma function;    Wallis ratio;    inequalities;    continued fraction;    rate of convergence;    33B15;    26D07;   

DOI  :  10.1186/s13660-015-0701-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we present some sharp inequalities for the ratio of gamma functions. The main tool is the multiple-correction method formulated in (Cao et al. in J. Number Theory 149:327-350, 2015; Cao in J. Math. Anal. Appl. 424:1425-1446, 2015). Some conjectures are proposed.

【 授权许可】

CC BY