Inequalities for Generalized Grötzsch Ring Function

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 ) .

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Bibliographic Details
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
Online Access:Get full text
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Summary: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 ) .
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ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-021-00415-3