The commutation relation \(xy=qyx+hf(y)\) and Newton's binomial formula

DOI10.1007/s11139-011-9295-0zbMath1226.05028OpenAlexW1981933898MaRDI QIDQ638606

Toufik Mansour, Matthias Schork

Publication date: 13 September 2011

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

Full work available at URL: https://doi.org/10.1007/s11139-011-9295-0

zbMATH Keywords

special functionsYoung diagrams\(q\)-commuting variablesoperator calculus

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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