Ring isomorphisms for the family of Eulerian differential operators

DOI10.1016/0022-247X(80)90273-5zbMath0462.05011MaRDI QIDQ1153151

K. W. Yuen, William R. Allaway

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Eulerian basic polynomialsEulerian differential operators

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Enumerative combinatorics (05A99)

Related Items

Discrete analogues of the Heisenberg-Weyl algebra, More on the umbral calculus, with emphasis on the \(q\)-umbral calculus, A comparison of two umbral algebras, Isomorphisms from the Eulerian umbral algebra onto formal Newton series

Cites Work

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• Fractional powers of a difference operator
• The umbral calculus
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Extensions of Sheffer Polynomial Sets
• On the Geometry of Numbers in Elementary Number Theory
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions