Bilateral Basic Hypergeometric Series: A Study
نویسندگان
چکیده
منابع مشابه
A Bilateral Series Involving Basic Hypergeometric Functions
We prove a summation formula for a bilateral series whose terms are products of two basic hypergeometric functions. In special cases, series of this type arise as matrix elements of quantum group representations.
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Abstract. We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformation formulas. Our method can be applied to derive Ramanujan’s 1ψ1 summation, Bailey’s 2ψ2 transformations, and Bailey’s 6ψ6 summation. Corresponding Author: William Y. C. Chen, Email: [email protected] AMS Cl...
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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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ژورنال
عنوان ژورنال: Anusandhaan - Vigyaan Shodh Patrika
سال: 2018
ISSN: 2350-0123,2322-0708
DOI: 10.22445/avsp.v6i1.13894