Published April 6, 2012 | Version v1
Journal article Metadata-only

Painlevé solution of an integral equation

Creators

  • 1. University Paris Sud, CNRS, LPTMS, UMR8626, Orsay F-91405 (France)

Description

It is demonstrated that a certain integral equation can be solved using the Painlevé equation of third kind. Inversely, a special solution of this Painlevé equation can be expressed as the ratio of two infinite series of spheroidal functions with known coefficients. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/45/13/135205

Additional details

Identifiers

DOI
10.1088/1751-8113/45/13/135205;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
45
Journal Issue
13
Journal Page Range
[18 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43092869
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ALGORITHMS; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS
Descriptors DEC
EQUATIONS; EVOLUTION; MATHEMATICAL LOGIC