Lattice paths and multiple basic hypergeometric series

DOI10.2140/PJM.1989.136.209zbMath0674.33002OpenAlexW2050188046MaRDI QIDQ1121411

A. K. Agarwal, David M. Bressoud

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2140/pjm.1989.136.209

zbMATH Keywords

basic hypergeometric series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Classical hypergeometric functions, ({}_2F_1) (33C05)

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On an extension of a combinatorial identity ⋮ ON MULTI-COLOR PARTITIONS AND THE GENERALIZED ROGERS–RAMANUJAN IDENTITIES ⋮ Combinatorial Interpretation of a Generalized Basic Series ⋮ A new class of lattice paths and partitions with \(n\) copies of \(n\) ⋮ New Combinatorial Interpretations of Two Analytic Identities ⋮ Iteration process for multiple Rogers-Ramanujan identities ⋮ Rogers-Ramanujan type identities via Abel's lemma on summation by parts ⋮ Combinatorial identities for tenth order mock theta functions ⋮ Some new identities of Rogers-Ramanujan type ⋮ On combinatorial extensions of some Ramanujan's mock theta functions ⋮ Partition identities from third and sixth order mock theta functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Combinatorics of some fifth and sixth order mock theta functions ⋮ Carlitz inversions and identities of the Rogers-Ramanujan type ⋮ On \(q\)-series and split lattice paths ⋮ \(q\)-functional equations and some partition identities ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ \(n\)-color compositions and lattice paths of Agarwal-Bressoud ⋮ Basic series identities and combinatorics ⋮ On 3-way combinatorial identities ⋮ Paths and partitions: Combinatorial descriptions of the parafermionic states ⋮ Where Should I Open My Restaurant? ⋮ Unnamed Item ⋮ Multiple partitions, lattice paths and a Burge-Bressoud-type correspondence ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ A new approach in interpreting some mock theta functions ⋮ Unnamed Item ⋮ Lattice paths and the \(q\)-ballot polynomials

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