Steffensen's poweroids

DOI10.1080/03461238.1982.10405108zbMath0509.39008OpenAlexW2059191464MaRDI QIDQ4746948

Elias S. W. Shiu

Publication date: 1982

Published in: Scandinavian Actuarial Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03461238.1982.10405108

zbMATH Keywords

dualitycompound Poisson processesdifferentiation operatorKing's formulaTaylor expansion formulaactuarial finite-difference formulascentral difference interpolationpoweroids

Mathematics Subject Classification ID

Difference operators (39A70)

Related Items

Delta operators, power series distributions and recursions for compound sums ⋮ Peaks are preserved under run-sorting ⋮ Ruin probability by operational calculus

Cites Work

• Sequences of functions of binomial type
• The algebra for formal series. II: Sheffer sequences
• The umbral calculus
• Some properties of polynomial sets of type zero
• The poweroid, an extension of the mathematical notion of power
• The Umbral Method: A Survey of Elementary Mnemonic and Manipulative Uses
• An exposá of the mullin-rota theory of polynomials of binomial type
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