A simple proof of Bailey’s very-well-poised 6ψ6 summation
نویسنده
چکیده
Using Rogers’ nonterminating 6φ5 summation and elementary series manipulations, we give a simple proof of Bailey’s very-well-poised 6ψ6 summation. This proof extends M. Jackson’s first proof of Ramanujan’s 1ψ1 summation.
منابع مشابه
Elementary Derivations of Identities for Bilateral Basic Hypergeometric Series
We give elementary derivations of several classical and some new summation and transformation formulae for bilateral basic hypergeometric series. For purpose of motivation, we review our previous simple proof (“A simple proof of Bailey’s very-well-poised 6ψ6 summation”, Proc. Amer. Math. Soc., to appear) of Bailey’s very-well-poised 6ψ6 summation. Using a similar but different method, we now gi...
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تاریخ انتشار 2008