generalized grötzsch ring function
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scholarly journals Monotonicity properties and inequalities related to generalized Grötzsch ring functions

2019 ◽  
Vol 17 (1) ◽  
pp. 802-812 ◽  
Author(s):  
Fei Wang ◽  
Jian-Hui He ◽  
Li Yin ◽  
Feng Qi
Keyword(s):  
Elementary Functions ◽  
Modular Equation ◽  
Monotonicity Properties ◽  
Generalized Grötzsch Ring Function

Abstract 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.

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