MR2547100 Raimundas VIDŪNAS Raimundas VIDŪNAS Algebraic Transformations of Gauss Hypergeometric Functions Funkcialaj Ekvacioj. Serio Internacia 52 2009 139--180 http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-2/52_139.pdf http://www.ams.org/mathscinet-getitem?mr=MR2547100 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. Gauss hypergeometric function, Fuchsian equations, Pull-back transformations. 33C05, 34A30. 52-139 2009 Algebraic Transformations of Gauss Hypergeometric Functions Raimundas VIDŪNAS Raimundas VIDŪNAS 1 Andrews, G. E.; Askey, R.; Roy, R. Special Functions Cambridge Univ. Press, Cambridge 1999 MR1688958
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