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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 11, pp. 1538–1554, November, 2010.
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Chu, W., Zhang, W. Well-posed reduction formulas for the q-Kampé-de-Fériet function. Ukr Math J 62, 1783–1802 (2011). https://doi.org/10.1007/s11253-011-0468-1
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DOI: https://doi.org/10.1007/s11253-011-0468-1