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- W3100905636 abstract "Let $(alpha_n(a,k),beta_n(a,k))$ be a WP-Bailey pair. Assuming the limits exist, let [ (alpha_n^*(a),beta_n^*(a))_{ngeq 1} = lim_{k to 1}left(alpha_n(a,k),frac{beta_n(a,k)}{1-k}right)_{ngeq 1} ] be the emph{derived} WP-Bailey pair. By considering a particular limiting case of a transformation due to George Andrews, we derive new basic hypergeometric summation and transformation formulae involving derived WP-Bailey pairs. We then use these formulae to derive new identities for various theta series/products which are expressible in terms of certain types of Lambert series." @default.
- W3100905636 created "2020-11-23" @default.
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- W3100905636 date "2011-01-01" @default.
- W3100905636 modified "2023-09-26" @default.
- W3100905636 title "A new summation formula for WP-Bailey pairs" @default.
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- W3100905636 doi "https://doi.org/10.2298/aadm110203004m" @default.
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