Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type
نویسندگان
چکیده
Evaluations of series of the q-Watson, q-Dixon, and q-Whipple type Chuanan Wei1∗ Xiaoxia Wang2† 1 Department of Medical Informatics, Hainan Medical University, China 2 Department of Mathematics, Shanghai University, China received 16th Apr. 2016, revised 1st May 2017, accepted 6th June 2017. 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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ورودعنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 19 شماره
صفحات -
تاریخ انتشار 2017