Umbral calculus and Sheffer sequences of polynomials

Umbral calculus and Sheffer sequences of polynomials

In this paper, we investigate some properties of Sheffer sequences of polynomials arising from umbral calculus. From these properties, we derive new and interesting identities between Sheffer sequences of polynomials. An application to normal ordering is presented.

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Veröffentlicht in:Journal of mathematical physics 2013-08, Vol.54 (8), p.1
Hauptverfasser: Kim, Taekyun, Kim, Dae San, Mansour, Toufik, Rim, Seog-Hoon, Schork, Matthias
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Mathematical analysis
Order disorder
Polynomials
Sequences
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Beschreibung
Zusammenfassung:In this paper, we investigate some properties of Sheffer sequences of polynomials arising from umbral calculus. From these properties, we derive new and interesting identities between Sheffer sequences of polynomials. An application to normal ordering is presented.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4817853