Painlevé solution of an integral equation
DOI10.1088/1751-8113/45/13/135205zbMath1241.45001arXiv1109.4787OpenAlexW2071953161MaRDI QIDQ5390041
Eugène Bogomolny, Yasar Yilmaz Atas
Publication date: 27 April 2012
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.4787
Fredholm integral equationPainlevé equationdifference kernelspheroidal functionsBessel function kernel
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Fredholm integral equations (45B05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Lamé, Mathieu, and spheroidal wave functions (33E10) Linear integral equations (45A05)
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