On a multidimensional system of hypergeometric differential equations

Siberian Mathematical Journal

Volumn 39, Issue 5, 1998, Pages 986-997

  Sadykov, T M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22444454746     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02672921     Document Type: Article

References (12)

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2. (Itogi Nauki i Tekhniki; 13.)
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4. I. M. Gelfand, M. I. Graev, and V. S. Retakh, "The q-hypergeometric Gauss equation and the description of its solutions in the form of series and integrals," Dokl. Akad. Nauk, 331, No. 2, 140-143 (1993).
5. I. M. Gelfand, M. I. Graev, and V. S. Retakh, "General hypergeometric systems of equations and series of hypergeometric type," Uspekhi Mat. Nauk. 47, No. 4, 3-82 (1992).
6. I. M. Gelfand, A. V. Zelevinskiǐ, and M. M. Kapranov, "Hypergeometric functions and toric varieties," Funktsional. Anal. i Prilozhen., 23, No. 2, 12-26 (1989).
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8. P. Candelas, X. de la Ossa, C. Xenia, P. S. Green, and L. Parkes, "A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory," Nuclear Phys., 359, No. 1, 21-74 (1991).
9. I. Gelfand, M. Kapranov, and A. V. Zelevinsky, "Generalized Euler integrals and A-hypergeometric functions," Adv. Math., 84, No. 2, 255-271 (1990).
10. L. A. Aǐzenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).
11. T. M. Sadykov, "On a solution to multidimensional hypergeometric differential equations by multiple residues," in: Complex Analysis and Differential Equations [in Russian], Krasnoyarsk. Univ., Krasnoyarsk, 1996, pp. 184-196.
12. A. K. Tsikh, Multidimensional Residues and Their Applications [in Russian], Nauka, Novosibirsk (1988).