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

Journal of Inequalities and Applications

Tie-Hong Zhao¹  Guo-Jing Hai¹ 

[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

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown