Heun’s Equation and the Hypergeometric Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1979 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 10, pages 655-657 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Kuiken, Kathryn;

doi: 10.1137/0510060

Heun’s Equation and the Hypergeometric Equation

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Abstract

The present investigation determines under which circumstances Heun’s equation can be derived from the hypergeometric equation by rational substitutions.

Keywords

hypergeometric equation, rational transformation, transformation of equations, Transformation and reduction of ordinary differential equations and systems, normal forms

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