On the rank of the hypergeometric system E(n+1, m+1; α)

Kyushu Journal of Mathematics

Volumn 50, Issue 2, 1996, Pages 285-295

  Kita, Michitake ^a   Ito, Masahiko ^b  

^a KANAZAWA UNIVERSITY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84976901831     PISSN: 13406116     EISSN: None     Source Type: Journal    
DOI: 10.2206/kyushujm.50.285     Document Type: Article

References (9)

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3. I. M. Gelfand, A. V. Zelevinskii and M. M. Kapranov. Hypergeometric functions and toral manifolds. Func. Anal. Appl. 23(1989), 94-106
4. E. Horikawa Transformations and contiguity relations for Gelfand's hypergeometric functions. Preprint, 1990
5. M. Kita. On hypergeometric functions in several variables I. New integral representations of Euler type. Japan. J. Math. 18(1992), 25-74
6. M. Kita. On hypergeometric functions in several variables II. The Wronskian of the hypergeometric functions of type (n + 1, m + 1) J. Math. Soc. Japan 45(1993), 645-669
7. K. Matsumoto, T. Sasaki and M. Yoshida. The monodromy of the period map of a 4-parameter family of K3 surfaces and the hypergeometric function of type (3,6). int. J. Math. 3 (1992), 1-164
8. T. Sasaki. Contiguity relations of Aomoto-Gelfand hypergeometric functions and applications to Appell's system F3 and Goursat's system 3F2. SIAM J. Math. Anal. 22(1991), 821-846
9. H. Weyl. The Classical Groups. Princeton University Press, 1946