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arXiv · 1307.4307

Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type

Chuanan Wei·Xiaoxia Wang
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Abstract

Using $q$-series identities and series rearrangement, we establish several extensions of $q$-Watson formulas with two extra integer parameters. Then they and Sears' transformation formula are utilized to derive some generalizations of $q$-Dixon formulas and $q$-Whipple formulas with two extra integer parameters. As special cases of these results, many interesting evaluations of series of $q$-Watson,$q$-Dixon, and $q$-Whipple type are displayed.

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Chuanan Wei, Xiaoxia Wang. 2013-07-12. Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type. https://doi.org/10.23638/dmtcs-19-1-19

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