On confluences of the general hypergeometric systems
Hironobu Kimura, Yoshishige Haraoka, and Kyoichi Takano
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 69, Number 5
(1993), 99-104.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195511444
Mathematical Reviews number (MathSciNet): MR1232147
Zentralblatt MATH identifier: 0822.33007
Digital Object Identifier: doi:10.3792/pjaa.69.99
References
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Mathematical Reviews (MathSciNet): MR508176
Zentralblatt MATH: 0339.35021
[2] I. M. Gelfand: General theorey of hypergeometric functions. Dokl. Akad. Nauk. SSSR, 288, 14-48 (1986); English translation in Soviet Math. Dokl., 33, 9-13 (1986).
Mathematical Reviews (MathSciNet): MR841131
Zentralblatt MATH: 0645.33010
[3] I. M. Gelfand and S. I. Gelfand : Generalized hypergeometric equations, ibid., 288, 279-283 (1986); English transl. in Soviet Math. Dokl., 33, 643-646 (1986).
Mathematical Reviews (MathSciNet): MR843436
Zentralblatt MATH: 0634.58030
[4] I. Mi Gelfand, V. S. Retakh and V. V. Serganova : Generalized Airy functions, Schublrt cells, and Jordan groups, ibid., 298, 17-21 (1988); English transl. in Soviet Math. Dokl. 37, 8-12 (1988).
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Zentralblatt MATH: 0699.33012
[5] K. Iwasaki et al.: From Gauft to Painleve Vieweg, Wiesbaden (1991).
[6] H. Kimura: The degeneration of the two dimensional Garnier system and the polynomial Hamiltonian structure. Ann. Mat. Pura Appl., 155, 25-74 (1989).
Mathematical Reviews (MathSciNet): MR1042827
Zentralblatt MATH: 0693.34043
Digital Object Identifier: doi:10.1007/BF01765933
[7] H. Kimura, Y. Haraoka and K. Takano: The generalized confluent hypergeometric functions. Proc. Japan Acad., 68A, 290-295 (1992).
Mathematical Reviews (MathSciNet): MR1202635
Zentralblatt MATH: 0773.33004
Digital Object Identifier: doi:10.3792/pjaa.68.290
Project Euclid: euclid.pja/1195511639
[8] K. Okamoto: Isomonodromic defomation and Painleve equations and the Garnier system. J. Fac. Sci. Univ. Tokyo, Sec. IA, 33, 576-618 (1986).
Mathematical Reviews (MathSciNet): MR866050
Zentralblatt MATH: 0631.34011
[9] K. Okamoto and H. Kimura: On particular solutions of Garnier systems and the hypergeometric functions of several variables. Quarterly J. Math., 37, 61-80 (1986).
Mathematical Reviews (MathSciNet): MR830631
Zentralblatt MATH: 0597.35114
Digital Object Identifier: doi:10.1093/qmath/37.1.61
Proceedings of the Japan Academy, Series A, Mathematical Sciences
