Algebraic Transformations of Gauss Hypergeometric Functions
Author:
Affiliation:
1. Kobe University
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
http://www.jstage.jst.go.jp/article/fesi/52/2/52_2_139/_pdf
Reference28 articles.
1. [AAR99] Andrews, G. E., Askey, R. and Roy, R., Special Functions, Cambridge Univ. Press, Cambridge, 1999.
2. [AK03] Andreev, F. V. and Kitaev, A. V., Some examples of RS32 (3)-transformations of ranks 5 and 6 as the higher order transformations for the hypergeometric function, Ramanujan J., 7 (2003), 455-476.
3. [BB91] Borwein, J. M. and Borwein, P. B., A cubic counterpart of Jacobi's identity and the AGM, Trans. Amer. Math. Soc., 323 (1991), 691-701.
4. [BBG95] Berndt, B. C., Bhargava, S. and Garvan, F. G., Ramanujan's theories of elliptic functions to alternative bases, Trans. Amer. Math. Soc., 347 (1995), 4163-4244.
5. [Beu02] Beukers, F., Gauss' hypergeometric function, Arithmetic and geometry around hypergeometric functions, Progress in Mathematics 260, Birkhäuser, 2007, pp. 23-42.
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