A Relativistic Conical Function and its Whittaker Limits

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2011
• Автор: Ruijsenaars, S.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2011
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147993
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...