A two-parameter generalization of the complete elliptic integral of second kind

2007/08/17 by Victor Bârsan, Victor Barsan, Barsan, Victor · 2 citations
Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Mathematical functions and polynomials #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0708.2325

arxiv created 2007/08/17 · openalex publication_date 2007/08/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A two-parameter generalization of the complete elliptic integral of second kind is expressed in terms of the Appell function F₄. This function is further reduced to a quite simple bilinear form in the complete elliptic integrals K and E. The physical applications are briefly mentioned.

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• A two-parameter generalization of the complete elliptic integral of the second kind
• Elliptic integral evaluations of Bessel moments and applications

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