Some inequalities for the generalized linear distortion function

DOI10.1007/s11766-012-2896-6zbMath1265.33012OpenAlexW1972126467MaRDI QIDQ1931140

Song-Liang Qiu, Xiao-Yan Ma, Yu-Ming Chu, Genhong Zhong

Publication date: 24 January 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2896-6

zbMATH Keywords

inequalitymodular equationgeneralized linear distortion function

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

Topics in Special Functions III

Cites Work

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• Bounds for complete elliptic integrals of the first kind
• Monotonicity theorems and inequalities for the complete elliptic integrals
• Modular equations and distortion functions
• Distortion functions for plane quasiconformal mappings
• Generalized elliptic integrals and modular equations
• Functional inequalities, Jacobi products, and quasiconformal maps
• Bounds for quasiconformal distortion functions
• Some bounds for the complete elliptic integrals of the first and second kinds
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Duplication inequalities for the ratios of hypergeometric functions

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