Computer algebra and umbral calculus

DOI10.1016/S0012-365X(97)00108-8zbMath0892.05008OpenAlexW2155369353WikidataQ126377387 ScholiaQ126377387MaRDI QIDQ1381814

Alessandro Di Bucchianico, Daniel E. Loeb, Anne Bottreau

Publication date: 19 July 1998

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)00108-8

zbMATH Keywords

umbral calculuscomputer algebra

Mathematics Subject Classification ID

Umbral calculus (05A40)

Uses Software

• Maple
• Mathematica

Cites Work

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• An application of the umbral calculus
• On a generalization of polynomials in the ballot problem
• The enumeration of restricted random walks by Sheffer polynomials with applications to statistics
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• The algebra of formal series III: Several variables
• Sheffer polynomials for computing exact Kolmogorov-Smirnov and Renyi type distributions
• Banach algebras, logarithms, and polynomials of convolution type
• Coalgebraic foundations of the method of divided differences
• The umbral calculus
• A selected survey of umbral calculus
• Sequences of binomial type with persistent roots
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Divided Differences and Combinatorial Identities
• The Umbral Method: A Survey of Elementary Mnemonic and Manipulative Uses

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