Monotonicity properties and inequalities related to generalized Grötzsch ring functions

In the paper, the authors present some monotonicity properties and some sharp inequalities for the generalized Grötzsch ring function and related elementary functions. Consequently, the authors obtain new bounds for solutions of the Ramanujan generalized modular equation.

Bibliographic Details
Main Authors: Wang Fei, He Jian-Hui, Yin Li, Qi Feng
Format: Article
Language:English
Published: De Gruyter 2019-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2019-0064