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Chuanan Wei ; Xiaoxia Wang - Evaluations of series of the q-Watson, q-Dixon, and q-Whipple type

dmtcs:1434 - Discrete Mathematics & Theoretical Computer Science, June 27, 2017, Vol. 19 no. 1 - https://doi.org/10.23638/DMTCS-19-1-19
Evaluations of series of the q-Watson, q-Dixon, and q-Whipple typeArticle

Authors: Chuanan Wei ; Xiaoxia Wang

    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.


    Volume: Vol. 19 no. 1
    Section: Combinatorics
    Published on: June 27, 2017
    Accepted on: June 6, 2017
    Submitted on: June 27, 2017
    Keywords: Mathematics - Classical Analysis and ODEs

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