English

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

Mathematical Physics 2007-08-20 v1 math.MP

Abstract

A two-parameter generalization of the complete elliptic integral of second kind is expressed in terms of the Appell function F4F_{4}. This function is further reduced to a quite simple bilinear form in the complete elliptic integrals KK and EE. The physical applications are briefly mentioned.

Cite

@article{arxiv.0708.2325,
  title  = {A two-parameter generalization of the complete elliptic integral of second kind},
  author = {Victor Barsan},
  journal= {arXiv preprint arXiv:0708.2325},
  year   = {2007}
}
R2 v1 2026-06-21T09:08:14.759Z