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Zbl 1176.33005
Vidūnas, Raimundas
Algebraic transformations of Gauss hypergeometric functions. (English)
[J] Funkc. Ekvacioj, Ser. Int. 52, No. 2, 139-180 (2009). ISSN 0532-8721

Summary: This article gives a classification scheme of algebraic transformations of Gauss hypergeometric functions, or pull-back transformations between hypergeometric differential equations. The classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function. The other transformations are considered more thoroughly in a series of supplementing articles.

MSC 2000:: *33C05 Classical hypergeometric functions
34A30 Linear ODE and systems

Keywords: Gauss hypergeometric function; Fuchsian equations; pull-back transformations

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