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The modified Abel lemma on summation by parts is employed to establish two well-poised bilateral 5ψ5-series identities. Several quadratic, cubic and quartic transformation formulae are derived for the truncated partial sums of Bailey’s very well-poised 6ψ6-series.
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Wenchang Chu, Abel’s method on summation by parts and well-poised bilateral <sub>5</sub><var>ψ</var><sub>5</sub>-series identities. Port. Math. 66 (2009), no. 3, pp. 275–302DOI 10.4171/PM/1844