2018
Том 70
№ 6

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

Abstract

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. Several remarkable formulas are also found for new function classes beyond the $q$-Kampé-de-Fériet function.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1783-1802.

Citation Example: Chu W., Zhang W. Well-posed reduction formulas for the $q$-Kampé-de-Fériet function // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1538–1554.

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