The theory of the umbral calculus. II

DOI10.1016/0022-247X(82)90103-2zbMath0526.05007MaRDI QIDQ594872

Steven Roman

Publication date: 1982

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

zbMATH Keywords

umbral calculuspolynomial sequencesGoncarov polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

Mellin transforms of generalized fractional integrals and derivatives ⋮ Unnamed Item ⋮ More on the umbral calculus, with emphasis on the \(q\)-umbral calculus ⋮ Extended finite operator calculus -- an example of algebraization of analysis ⋮ The theory of the umbral calculus. III ⋮ Polynomial Sequences of Interpolatory Type ⋮ Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences ⋮ The iterated logarithmic algebra ⋮ Towards \(\psi\)-extension of Rota's finite operator calculus ⋮ Formal power series of logarithmic type ⋮ Umbral calculus in Ore extensions

Cites Work

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• The algebra for formal series. II: Sheffer sequences
• The algebra of formal series III: Several variables
• Polynomials, power series and interpolation
• The theory of the umbral calculus. I
• The umbral calculus
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• The Formula of FAA Di Bruno
• Inverse Relations for Certain Sheffer Sequences
• Erratum