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

• Date: 2010
• Main Authors: Chu, W., Zhang, W., Чу, У., Чжан, В.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2978
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 seri...