Open Access
December 2018 The hypergeometric function for the root system of type A with a certain degenerate parameter
Nobukazu Shimeno, Yuichi Tamaoka
Tsukuba J. Math. 42(2): 155-172 (December 2018). DOI: 10.21099/tkbjm/1554170420

Abstract

We express explicitly the Heckman-Opdam hypergeometric function for the root system of type A with a certain degenerate parameter in terms of the Lauricella hypergeometric function.

Citation

Download Citation

Nobukazu Shimeno. Yuichi Tamaoka. "The hypergeometric function for the root system of type A with a certain degenerate parameter." Tsukuba J. Math. 42 (2) 155 - 172, December 2018. https://doi.org/10.21099/tkbjm/1554170420

Information

Published: December 2018
First available in Project Euclid: 2 April 2019

zbMATH: 07055228
MathSciNet: MR3934986
Digital Object Identifier: 10.21099/tkbjm/1554170420

Subjects:
Primary: 33C67
Secondary: 33C65 , 43A90

Keywords: hypergeometric function , Lauricella hypergeometric function , root system , spherical function

Rights: Copyright © 2018 University of Tsukuba, Institute of Mathematics

Vol.42 • No. 2 • December 2018
Back to Top