Abel's lemma on summation by parts and basic hypergeometric series |
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| Authors: | Wenchang Chu |
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| Institution: | aDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | Basic hypergeometric series identities are revisited systematically by means of Abel's lemma on summation by parts. Several new formulae and transformations are also established. The author is convinced that Abel's lemma on summation by parts is a natural choice in dealing with basic hypergeometric series. |
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| Keywords: | Abel's lemma on summation by parts Basic hypergeometric series |
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