arXiv:math/0701438 Abstract

arXiv:math/0701438 [math.CA]Abstract References Reviews Resources

Generalized Elliptic Integrals and the Legendre M-function

V. Heikkala, H. Lindén, M. K. Vamanamurthy, M. Vuorinen

Published 2007-01-16, updated 2007-05-20Version 2

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.

Comments: 28 pages

DOI: 10.1016/j.jmaa.2007.05.020

Categories: math.CA, math.CV

Subjects: 33B15

Keywords: generalized elliptic integrals, legendre m-function, linearization property, study monotonicity, convexity properties

Tags: journal article

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