A Relativistic Conical Function and its Whittaker Limits

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Author: Ruijsenaars, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147993
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Relativistic Conical Function and its Whittaker Limits / S. Ruijsenaars // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 43 назв. — англ.

In previous work we introduced and studied a function R(a+,a−,c;v,v^) that is a generalization of the hypergeometric function ₂F₁ and the Askey-Wilson polynomials. When the coupling vector c∈C⁴ is specialized to (b,0,0,0), b∈C, we obtain a function R(a+,a−,b;v,2v^) that generalizes the conical funct...