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

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.

12pages

References in corpus (1)

• Paley-Wiener theorems for the Dunkl transform

Cited by in corpus (5)

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• Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions