Inequalities for Generalized Grötzsch Ring Function

• Published in: Computational methods and function theory Vol. 22; no. 3; pp. 559 - 574
• Main Authors: Zhao, Tie-Hong, Bhayo, Barkat Ali, Chu, Yu-Ming
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022; Springer Nature B.V
• Subjects: Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable; Inequalities; Mathematics; Mathematics and Statistics; Geometric function theory; Modular equation; 33E05; Generalized elliptic integrals; Generalized Grötzsch ring function; 33C05

In this paper, we deal with the generalized Grötzsch ring function μ a ( r ) for r ∈ ( 0 , 1 ) in the theory of the Ramanujan generalized modular equation and present new inequalities for μ a ( r ) .