A comparison of two umbral algebras

DOI10.1016/0022-247X(82)90035-XzbMath0491.05006MaRDI QIDQ1167167

William R. Allaway

Publication date: 1982

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

zbMATH Keywords

sequenceslinear functionalsdelta functionalbinomial and Eulerian polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Discrete analogues of the Heisenberg-Weyl algebra, More on the umbral calculus, with emphasis on the \(q\)-umbral calculus, G-R-sequences and incidence coalgebras of posets of full binomial type, Isomorphisms from the Eulerian umbral algebra onto formal Newton series

Cites Work

• Ring isomorphisms for the family of Eulerian differential operators
• A q-umbral calculus
• The umbral calculus
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Formal Power Series
• On the Foundations of Combinatorial Theory V, Eulerian Differential Operators
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