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

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

2007-08-17

arxiv.org/abs/0708.2325v1

Physics

Mathematical Physics

Scientific paper

A two-parameter generalization of the complete elliptic integral of second
kind is expressed in terms of the Appell function $F_{4}$. 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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