A1 Refereed original research article in a scientific journal

Generalized elliptic integrals and the Legendre M-function



Authors: Heikkala V., Lindén H., Vamanamurthy M., Vuorinen M.

Publication year: 2008

Journal: Journal of Mathematical Analysis and Applications

Journal name in source: Journal of Mathematical Analysis and Applications

Volume: 338

Issue: 1

First page : 223

Last page: 243

Number of pages: 21

ISSN: 0022-247X

DOI: https://doi.org/10.1016/j.jmaa.2007.05.020

Web address : http://api.elsevier.com/content/abstract/scopus_id:34548859833


Abstract
We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwarz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities and a linearization property. © 2007 Elsevier Inc. All rights reserved.



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