A Relativistic Conical Function and its Whittaker Limits

In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials. When the coupling vector c∈C^4 is specialized to (b,0,0,0), b∈C, we obtain a function R(a+,a−,b;v,2vˆ) that generalizes the conical fu...

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Bibliographic Details
Main Author: Simon Ruijsenaars
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.101