Mathematics > Combinatorics
[Submitted on 2 Jan 2007]
Title:On the Bilateral Series $_2ψ_2$
View PDFAbstract: We obtain a formula which reduces the evaluation of a $_2\psi_2$ series to two $_2\phi_1$ series. In some sense, this identity may be considered as a companion of Slater's formulas. We also find that a two-term ${}_2\psi_2$ summation formula due to Slater can be derived from a unilateral summation formula of Andrews by bilateral extension and parameter augmentation.
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