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About derivatives of Heun's functions from polynomial transformations of hypergeometric equations

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Hounkonnou, Mahouton Norbert Ronveaux, Andre [UCL]

We discuss how the derivative of solutions of some Heun's differential equations can be given, in some particular cases, from the solution of another Heun's equation. This work uses some algebraic links between Heun and hypergeometric equations. (C) 2008 Elsevier Inc. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2009
Language Anglais
Journal information "Applied Mathematics and Computation" - Vol. 209, no. 2, p. 421-424 (2009)
Peer reviewed yes
Publisher Elsevier Science Inc (New York)
issn 0096-3003
e-issn 1873-5649
Publication status Publié
Affiliation UCL
Keywords Heun's differential equations ; Hypergeometric functions
Links
Bibliographic reference Hounkonnou, Mahouton Norbert ; Ronveaux, Andre. About derivatives of Heun's functions from polynomial transformations of hypergeometric equations. In: Applied Mathematics and Computation, Vol. 209, no. 2, p. 421-424 (2009)
Permanent URL http://hdl.handle.net/2078.1/35800