A Class of Generalized Hypergeometric Functions in Several Variables
- 1 December 1992
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 44 (6) , 1317-1338
- https://doi.org/10.4153/cjm-1992-079-x
Abstract
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.Keywords
This publication has 7 references indexed in Scilit:
- Some combinatorial properties of Jack symmetric functionsAdvances in Mathematics, 1989
- Commuting differential operators and zonal spherical functionsPublished by Springer Nature ,1987
- Singular integrals on bounded symmetric domains in CNJournal of Mathematical Analysis and Applications, 1982
- Aspects of Multivariate Statistical TheoryPublished by Wiley ,1982
- Singular integrals on bounded symmetric domains. IIContemporary Mathematics, 1982
- Some Non-Central Distribution Problems in Multivariate AnalysisThe Annals of Mathematical Statistics, 1963
- Bessel Functions of Matrix ArgumentAnnals of Mathematics, 1955