Certain derived WP-bailey pairs and transformation formulas for q-hypergeometric series

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چکیده

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Lifting Bailey pairs to WP-Bailey pairs

A pair of sequences (αn(a, k, q),βn(a, k, q)) such that α0(a, k, q) = 1 and βn(a, k, q) = n ∑ j=0 (k/a; q)n−j(k; q)n+j (q; q)n−j(aq; q)n+j αj(a, k, q) is termed a WP-Bailey Pair. Upon setting k = 0 in such a pair we obtain a Bailey pair. In the present paper we consider the problem of “lifting” a Bailey pair to a WPBailey pair, and use some of the new WP-Bailey pairs found in this way to derive...

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ژورنال

عنوان ژورنال: Filomat

سال: 2017

ISSN: 0354-5180,2406-0933

DOI: 10.2298/fil1714619s