Generalized elliptic integrals and the Legendre M-function

By Ville Heikkala, H. Lindén, Mavina Vamanamurthy, Matti Vuorinen. 2007

48 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b4f2af60913e5de12f94db67c9cff370851dba8d

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In Applied Mathematics

1. Jingfeng Tian
2. Zhen-Hang Yang
3. Y. Chu

In Geometry and Topology

1. Jingfeng Tian
2. Zhen-Hang Yang

Citations in the corpus

• Convexity and monotonicity for elliptic integrals of the first kind and applications (2017, background): “Some of new generalizations can be found in [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40].”