Abel’s method on summation by parts and well-poised bilateral -series identities
Wenchang Chu
Università del Salento, Lecce, Italy
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Abstract
The modified Abel lemma on summation by parts is employed to establish two well-poised bilateral -series identities. Several quadratic, cubic and quartic transformation formulae are derived for the truncated partial sums of Bailey’s very well-poised -series.
Cite this article
Wenchang Chu, Abel’s method on summation by parts and well-poised bilateral -series identities. Port. Math. 66 (2009), no. 3, pp. 275–302
DOI 10.4171/PM/1844