Integral transformation of Heun's equation and some applications

DOI10.2969/jmsj/06920849zbMath1371.34132arXiv1008.4007OpenAlexW1888848699MaRDI QIDQ2360957

Kouichi Takemura

Publication date: 29 June 2017

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4007

zbMATH Keywords

Painlevé equationmonodromyHeun's differential equationEuler's integral transformation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Lamé, Mathieu, and spheroidal wave functions (33E10)

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