An elliptic $BC_n$ Bailey Lemma, multiple Rogers–Ramanujan identities and Euler’s Pentagonal Number Theorems

DOI10.1090/S0002-9947-08-04457-7zbMath1146.05006arXivmath/0605653WikidataQ124936294 ScholiaQ124936294MaRDI QIDQ3533838

Hasan Coskun

Publication date: 24 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605653

zbMATH Keywords

theta functionsaffine root systemsdeterminant evaluationsMacDonald identitiesmultiple Rogers-Ramanujan identitieselliptic Bailey lemmamultiple Euler's pentagonal number theorems

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions associated with root systems (33D67)

Related Items (9)

Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ Hall-Littlewood polynomials and characters of affine Lie algebras ⋮ A multilateral Bailey lemma and multiple Andrews-Gordon identities ⋮ Multidimensional matrix inversions and elliptic hypergeometric series on root systems ⋮ Elliptic well-poised Bailey transforms and lemmas on root systems ⋮ Combinatorial formulas for certain sequences of multiple numbers ⋮ A \(U(n + 1)\) Bailey lattice ⋮ Multiple analogues of binomial coefficients and families of related special numbers ⋮ The \(C_n\) WP-Bailey chain

Cites Work

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