Well-posed reduction formulas for the q-Kampé-de-Fériet function

• Published in: Український математичний журнал
• Date: 2010
• Main Authors: Chu, W., Zhang, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166263
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Well-posed reduction formulas for the q-Kampé-de-Fériet function / W. Chu, W. Zhang // Український математичний журнал. — 2010. — Т. 62, № 11. — С. 1538–1554. — Бібліогр.: 10 назв. — англ.

By using the limiting case of Watson’s q-Whipple transformation as n → ∞, we investigate the transformations of the nonterminating q-Kampé-de-Fériet series. Further, new formulas for the transformations and well-posed reduction formulas are established for the basic Clausen hypergeometric series. Se...