Recent developments in combinatorial aspects of normal ordering

DOI10.54550/ECA2021V1S2S2zbMath1499.05045MaRDI QIDQ5056207

Matthias Schork

Publication date: 7 December 2022

Published in: Enumerative Combinatorics and Applications (Search for Journal in Brave)

zbMATH Keywords

partitionsStirling numbersWeyl algebradirected graphsBell numbersLah numbersDyck pathsquantum planeWhitney numbersnormal orderingbinomial formulaDowling numbersRook numbersSpivey identity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Enumeration in graph theory (05C30) Other combinatorial number theory (11B75) Derivations and commutative rings (13N15) Rings of differential operators (associative algebraic aspects) (16S32) Directed graphs (digraphs), tournaments (05C20) Connections of Hopf algebras with combinatorics (16T30)

Related Items (4)

Normal ordering in the shift algebra and the dual of Spivey’s identity ⋮ Boson operator ordering identities from generalized Stirling and Eulerian numbers ⋮ File placements, fractional matchings, and normal ordering ⋮ Higher order moments dynamics for some multimode quantum master equations

Uses Software

• OEIS

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