On exterior moduli of quadrilaterals and special functions

DOI10.1007/S11784-013-0115-6zbMath1276.33028arXiv1111.3812OpenAlexW2019312615MaRDI QIDQ360545

Matti Vuorinen, Xiao-Hui Zhang

Publication date: 27 August 2013

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3812

zbMATH Keywords

inequalitycomplete elliptic integralexterior modulus

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (10)

Numerical conformal mapping to one-tooth gear-shaped domains and applications ⋮ Topics in Special Functions III ⋮ Conformal mappings of stretched polyominoes onto half-plane ⋮ Extremal problems in geometric function theory ⋮ Asymptotics of the exterior conformal modulus of a quadrilateral under stretching map ⋮ Asymptotics of the exterior conformal modulus of a symmetric quadrilateral under stretching map ⋮ Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching ⋮ Asymptotics of the modules of mirror symmetric doubly connected domains under stretching ⋮ Asymptotics of the conformal modulus of unbounded symmetric doubly connected domain under stretching ⋮ Riemann-Schwarz reflection principle and asymptotics of modules of rectangular frames

Cites Work

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• Functional inequalities for modified Bessel functions
• Functional inequalities involving special functions. II
• Robin capacity and extremal length
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• Functional inequalities for the quotients of hypergeometric functions
• Generalized convexity and inequalities involving special functions
• Concavity with respect to Hölder means involving the generalized Grötzsch function
• Generalized convexity and inequalities
• On Moduli of Rings and Quadrilaterals: Algorithms and Experiments

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