A multiple series transformation of the very well poised \(_{2k+4}\Phi_{2k+4}\)

DOI10.2140/pjm.1980.91.419zbMath0405.40004OpenAlexW2017391561MaRDI QIDQ1257168

Stephen C. Milne

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.91.419

zbMATH Keywords

Analytical TechniquesMultiple Basic Hypergeometric SeriesMultiple Series GeneralizationMultiple Series TransformationPartition IdentityWell Poised SeriesWhipple's Theorem

Mathematics Subject Classification ID

Convergence and divergence of infinite limiting processes (40A99)

Related Items (9)

General multi-sum transformations and some implications ⋮ A \(U(n)\) generalization of Ramanujan's \(_1\Psi_1\) summation ⋮ Basic hypergeometric series very well-poised in U(n) ⋮ Extensions of Ramanujan's reciprocity theorem and the Andrews-Askey integral ⋮ Basic bilateral very well-poised series and Shukla's \(_8\psi_8\)-summation formula ⋮ Bailey's very well-poised \(_6\psi_6\)-series identity ⋮ Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral ⋮ The Saalschütz chain reactions and bilateral basic hypergeometric series. ⋮ A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\)

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