Tribasic integrals and identities of Rogers-Ramanujan type
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Publication:4417300
DOI10.1090/S0002-9947-03-03338-5zbMath1033.33012OpenAlexW1486472552MaRDI QIDQ4417300
Dennis W. Stanton, Mourad E. H. Ismail
Publication date: 28 July 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03338-5
Combinatorial aspects of partitions of integers (05A17) Other functions defined by series and integrals (33E20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Additive number theory; partitions (11P99)
Related Items (max. 100)
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications ⋮ Bilateral identities of the Rogers–Ramanujan type ⋮ Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ Positivity preserving transformations for 𝑞-binomial coefficients ⋮ Identities of the Rogers-Ramanujan-Bailey type ⋮ Continued fraction proofs of \(m\)-versions of some identities of Rogers-Ramanujan-Slater type ⋮ Expansions of one density via polynomials orthogonal with respect to the other ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities
Cites Work
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- Partitions with prescribed hook differences
- Ramanujan's ``lost notebook. II: Theta-function expansions
- Schur's determinants and partition theorems
- Variants of the Rogers-Ramanujan identities
- Some formulas related to the Rogers-Ramanujan identities
- The Associated Askey-Wilson Polynomials
- On Partitions, Orthogonal Polynomials and the Expansion of Certain Infinite Products
- Further Identities of the Rogers-Ramanujan Type
- Change of base in Bailey pairs
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