Abel’s lemma on summation by parts and terminating q-series identities |
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| Authors: | Wenchang Chu Xiaoyuan Wang |
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| Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, People’s Republic of China
2. Dipartimento di Matematica, Università degli Studi di Lecce, Lecce-Arnesano, P.O. Box 193, 73100, Lecce, Italy
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| Abstract: | The terminating basic hypergeometric series is investigated through the modified Abel lemma on summation by parts. Numerous known summation and transformation formulae are derived in a unified manner. Several new identities for the terminating quadratic, cubic and quartic series are also established. |
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