Finite Rogers-Ramanujan type identities
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Publication:1871377
zbMath1011.05003arXiv1901.02435MaRDI QIDQ1871377
Publication date: 7 May 2003
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.02435
Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
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\texttt{RRtools} -- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities ⋮ Several new product identities in relation to Rogers-Ramanujan type sums and mock theta functions ⋮ Unnamed Item ⋮ On the Andrews-Schur proof of the Rogers-Ramanujan identities ⋮ Rogers-Ramanujan type identities via Abel's lemma on summation by parts ⋮ On some continued fraction expansions of the Rogers-Ramanujan type ⋮ Some more identities of Kanade-Russell type derived using Rosengren's method ⋮ A \(q\)-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers-Ramanujan identities ⋮ On identities of the Rogers-Ramanujan type ⋮ Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions ⋮ Positivity preserving transformations for 𝑞-binomial coefficients ⋮ Continued fraction proofs of \(m\)-versions of some identities of Rogers-Ramanujan-Slater type ⋮ Fibonacci-Zahlen, Gitterpunktwege und die Identitäten von Rogers-Ramanujan. ⋮ One-parameter generalizations of Rogers-Ramanujan type identities ⋮ \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ Dyson's ``favorite identity and Chebyshev polynomials of the third and fourth kind ⋮ Rogers-Ramanujan computer searches ⋮ Some more identities of the Rogers-Ramanujan type ⋮ New finite Rogers-Ramanujan identities ⋮ Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities
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