Painleve solution of an integral equation
Mathematical Physics
2011-09-28 v2 math.MP
Abstract
It is demonstrated that a certain integral equation can be solved using the Painleve equation of third kind. Inversely, a special solution of this Painleve equation can be expressed as the ratio of two infinite series of spheroidal functions with known coefficients.
Cite
@article{arxiv.1109.4787,
title = {Painleve solution of an integral equation},
author = {Y. Y. Atas and E. Bogomolny},
journal= {arXiv preprint arXiv:1109.4787},
year = {2011}
}
Comments
19 pages