Painleve solution of an integral equation

Details Painleve solution of an integral equation Painleve solution of an integral equation

2011-09-22

arxiv.org/abs/1109.4787v2

Physics

Mathematical Physics

19 pages

Scientific paper

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.

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