Curious extensions of Ramanujan's \(_1\psi_1\) summation formula (Q2371855)
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| Language | Label | Description | Also known as |
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| English | Curious extensions of Ramanujan's \(_1\psi_1\) summation formula |
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Curious extensions of Ramanujan's \(_1\psi_1\) summation formula (English)
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9 July 2007
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The authors obtain several summation formulae that extend a summation formula of Ramanujan for a \(_{1}\psi_{1}\) bilateral basic hypergeometric series. Their results contain also a very-well-poised \(_{4}\psi_{6}\) bilateral basic hypergeometric summation formula as a special case. The new \(q\)-series identities are obtained by applying inverse relations to certain identities for basic hypergeometric series.
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basic hypergeometric series
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summation formulae
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\(q\)-series identities
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bilateral series
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Ramanujan's \(_{1}\psi_{1}\) summation
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matrix inversion
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