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
• ISSN: 1617-9447; 2195-3724
• DOI: 10.1007/s40315-021-00415-3

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
)
.