Topics in special functions. II-Reference-Cited by-同舟云学术

Topics in special functions. II

Published:2007-11-08 Issue:17 Volume:11 Page:250-270
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Anderson G.,Vamanamurthy M.,Vuorinen M.

Abstract

In geometric function theory, conformally invariant extremal problems often have expressions in terms of special functions. Such problems occur, for instance, in the study of change of euclidean and noneuclidean distances under quasiconformal mappings. This fact has led to many new results on special functions. Our goal is to provide a survey of such results.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2007-11-17/S1088-4173-07-00168-3/S1088-4173-07-00168-3.pdf

Reference88 articles.

1. Distortion theorems for quasiconformal mappings;Agard, Stephen;Ann. Acad. Sci. Fenn. Ser. A I No.,1968

2. Angles and quasiconformal mappings;Agard, S. B.;Proc. London Math. Soc. (3),1965

3. University Lecture Series;Ahlfors, Lars V.,2006

4. Conformal invariants and function-theoretic null-sets;Ahlfors, Lars;Acta Math.,1950

5. [An] G. D. Anderson: Mathematical Reviews.

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind;Integral Transforms and Special Functions;2022-12-15

2. Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications;Indian Journal of Pure and Applied Mathematics;2022-09-12

3. A simple rational approximation to the generalized elliptic integral of the first kind;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-03-24

4. Approximations for the Ratio of the Gamma Functions via the Digamma Function and Its Applications;Bulletin of the Brazilian Mathematical Society, New Series;2020-06-04

5. Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind;Computational Methods and Function Theory;2020-01-30