Mathematical Journal of Okayama University 61巻 1号
2019-01 発行

A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems

Shimeno, Nobukazu School of Science and Technology Kwansei Gakuin University
Publication Date
2019-01
Abstract
We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function.
Keywords
root system
hypergeometric function
Whittaker function
Comments
Mathematics Subject Classification. Primary 22E30, 33C67; Secondary 43A90.