General multi-sum transformations and some implications
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Publication:265586
DOI10.1007/S11139-015-9694-8zbMath1334.33034arXiv1901.01988OpenAlexW787440856MaRDI QIDQ265586
Publication date: 4 April 2016
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.01988
orthogonal polynomials\(q\)-seriestheta seriesbasic hypergeometric series\(q\)-productsBailey pairsWP-Bailey chainsWP-Bailey pairs
Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Cites Work
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- New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures
- Multiple series Rogers-Ramanujan type identities
- Partition bijections, a survey
- General WP-Bailey chains
- On a characteristic equation of well-poised Bailey chains
- Partitions, \(q\)-series and the Lusztig-MacDonald-Wall conjectures
- A multiple series transformation of the very well poised \(_{2k+4}\Phi_{2k+4}\)
- A new \(A_n\) extension of Ramanujan's \(_1\psi_1\) summation with applications to multilateral \(A_n\) series.
- Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
- Extensions of the well-poised and elliptic well-poised Bailey lemma
- A probabilistic proof of the Andrews--Gordon identities
- The Saalschütz chain reactions and bilateral basic hypergeometric series.
- The Saalschütz Chain Reactions and Multiple q-Series Transformations
- Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
- On Rogers-Ramanujan Type Identities Related to the Modulus 11
- Convolutions of Orthonormal Polynomials
- An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
- Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
- ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (II)
- Further Identities of the Rogers-Ramanujan Type
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