Geodesic
A Class of Generalized Hypergeometric Functions in Several Variables
Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1317-1338

Voir la notice de l'article provenant de la source Cambridge University Press

We study a class of generalized hypergeometric functions in several variables introduced by A. Korânyi. It is shown that the generalized Gaussian hypergeometric function is the unique solution of a system partial differential equations. Analogues of some classical results such as Kummer relations and Euler integral representations are established. Asymptotic behavior of generalized hypergeometric functions is obtained which includes some known estimates.
DOI : 10.4153/CJM-1992-079-x
Mots-clés : 33A30, 33A40, 32A99 
Yan, Zhimin. A Class of Generalized Hypergeometric Functions in Several Variables. Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1317-1338. doi: 10.4153/CJM-1992-079-x
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