Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622448 | Journal of Mathematical Analysis and Applications | 2007 | 11 Pages |
Abstract
We deduce new q-series identities by applying inverse relations to certain identities for basic hypergeometric series. The identities obtained themselves do not belong to the hierarchy of basic hypergeometric series. We extend two of our identities, by analytic continuation, to bilateral summation formulae which contain Ramanujan's summation and a very-well-poised summation as special cases.
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