On the Bilateral Series $_2ψ_2$

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We obtain a formula which reduces the evaluation of a $_2ψ_2$ series to two $_2ϕ_1$ series. In some sense, this identity may be considered as a companion of Slater's formulas. We also find that a two-term ${}_2ψ_2$ summation formula due to Slater can be derived from a unilateral summation formula of Andrews by bilateral extension and parameter augmentation.
13 pages

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Combinatorics, Classical Analysis and ODEs, 33D15, 05A30

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http://salesiana.dossiersoluciones.com/handle/123456789/120969

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701062
 http://arxiv.org/abs/math/0701062

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arXiv