Basic series identities and combinatorics

DOI10.1007/s11139-015-9754-0zbMath1359.05005OpenAlexW2268447869MaRDI QIDQ523703

Yong-Cai Geng, Sumit K. Garg

Publication date: 21 April 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9754-0

zbMATH Keywords

combinatorial identitiesRogers-Ramanujan identitiescombinatorial interpretationlattice paths\((n+t)\)-color partitionssplit \((n+t)\)-color partitionsmodified lattice paths

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (5)

Unnamed Item ⋮ AN ANALOGUE OF EULER’S IDENTITY AND SPLIT PERFECT PARTITIONS ⋮ Unnamed Item ⋮ On self-conjugate split \(n\)-color partitions ⋮ Unnamed Item

Cites Work

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• Rogers-Ramanujan identities for n-color partitions
• Lattice paths and multiple basic hypergeometric series
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• Partition Theorems Related to Some Identities of Rogers and Watson
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• Partitionen mit Differenzenbedingungen.
• Further Identities of the Rogers-Ramanujan Type

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