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Abel’s lemma on summation by parts and terminating q-series identities

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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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Correspondence to Wenchang Chu.

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Chu, W., Wang, X. Abel’s lemma on summation by parts and terminating q-series identities. Numer Algor 49, 105–128 (2008). https://doi.org/10.1007/s11075-008-9161-3

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  • DOI: https://doi.org/10.1007/s11075-008-9161-3

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