Monodromy groups of hypergeometric functions satisfying algebraic equations

Tohoku Mathematical Journal

Volumn 55, Issue 2, 2003, Pages 189-205

  Kato, Mitsuo ^a   Noumi, Masatoshi ^b  

^a UNIVERSITY OF THE RYUKYUS   (Japan)

^b KOBE UNIVERSITY   (Japan)

Author keywords

Generalized binomial function; Hypergeometric function; Monodromy group

Indexed keywords

EID: 0037829654     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1113246938     Document Type: Article

References (8)

1. K. AOMOTO AND K. IGUCHI, On quasi-hypergeometric functions, Methods Appl. Anal. 6 (1999), 55-66.
2. N. I. AKHIEZER, Elements of the Theory of Elliptic Functions, Transl. Math. Monogr. 79, American Mathematical Society, Providence, RI, 1990.
3. n-i, Invent. Math. 95 (1989), 325-354.
4. G. BELARDINELLI, Fonctions Hypergéométriques de Plusieurs Variables et Résolution Analytique des Équations Algébriques Générales, Mémor. Sci. Math., Fasc. 145, Gauthiers Villars, Paris, 1960.
5. W. N. BAILEY, Generalized Hypergeometric Series, Cambridge Tracts in Mathematics and Mathematical Phisics No. 32, 1935.
6. B. C. BERNDT, Ramanujan's Notebooks Part I, Springer-Verlag, New York, 1985.
7. A. ERDÉLYI (Editor), Higher transcendental functions, Vol. 1, MacGraw Hill, New York, 1953.
8. M. KATO, Schwarz maps of 3F2 with finite irreducible monodromy groups, Kyushu J. Math. 52 (1998), 475-495.