most citedGeneralized Elliptic Integrals and the Legendre M-function

41 citations · 44 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2007★ 41 cited

Generalized Elliptic Integrals and the Legendre M-function

V. Heikkala, H. Lindén, M. K. Vamanamurthy +1

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 fr…

math.CA2007★ 3 cited

Generalized elliptic integrals

Ville Heikkala, Mavina K. Vamanamurthy, Matti Vuorinen

Jacobi's elliptic integrals and elliptic functions arise naturally from the Schwarz-Christoffel conformal transformation of the upper half plane onto a rectangle. In this paper we…