On the Bilateral Series $_2ψ_2$

Details On the Bilateral Series $_2ψ_2$ On the Bilateral Series $_2ψ_2$

2007-01-02

arxiv.org/abs/math/0701062v1

Mathematics

Combinatorics

13 pages

Scientific paper

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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