Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function

Journal of inequalities and applications

article

Guo-Jing Hai¹  Tie-Hong Zhao¹ 

[1] Department of Mathematics, Hangzhou Normal University

关键词: Gaussian hypergeometric function;    Generalized Grötzsch ring function;    Generalized elliptic integral;    Monotonicity property;   

DOI  :  10.1186/s13660-020-02327-7

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In the article, we present several new monotonicity properties and bounds involving the generalized Grötzsch ring functions $\mu _{a,b}$ in the theory of Ramanujan’s generalized modular equation for $0< a, b<1$. Our results are the variants and extensions of some previously known results.

【 授权许可】

CC BY