Topics in special functions. II

DOI10.1090/S1088-4173-07-00168-3zbMath1133.30315OpenAlexW4213271796MaRDI QIDQ5448896

Mavina K. Vamanamurthy, Matti Vuorinen, Glenn D. Anderson

Publication date: 7 March 2008

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-07-00168-3

zbMATH Keywords

monotonicitySchwarz lemmaconvexityquasiconformalTeichmüller capacityelliptic integraldistortion functionSchottky

Mathematics Subject Classification ID

Other special functions (33E99) Elliptic functions and integrals (33E05) Quasiconformal mappings in the complex plane (30C62)

Related Items (15)

An accurate approximation formula for gamma function ⋮ Quadratic transformation inequalities for Gaussian hypergeometric function ⋮ A simple rational approximation to the generalized elliptic integral of the first kind ⋮ On generalized complete elliptic integrals and modular functions ⋮ Topics in Special Functions III ⋮ Sharp power mean inequalities for the generalized elliptic integral of the first kind ⋮ On Jordan type inequalities for hyperbolic functions ⋮ Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ A note on Jordan type inequalities for hyperbolic functions ⋮ Bounds for complete elliptic integrals of the second kind with applications ⋮ Landen inequalities for a class of hypergeometric functions with applications ⋮ Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function ⋮ Approximations for the ratio of the gamma functions via the digamma function and its applications ⋮ Precise estimates for the solution of Ramanujan's generalized modular equation

Cites Work

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