Umbral calculus and Sheffer sequences of polynomials

Taekyun Kim; Dae San Kim; Toufik Mansour; Seog Hoon Rim; Matthias Schork

doi:10.1063/1.4817853

Umbral calculus and Sheffer sequences of polynomials

Taekyun Kim, Dae San Kim, Toufik Mansour, Seog Hoon Rim, Matthias Schork

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Article number	083504
Journal	Journal of Mathematical Physics
Volume	54
Issue number	8
DOIs	https://doi.org/10.1063/1.4817853
State	Published - 5 Aug 2013

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4817853

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abstract = "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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Umbral calculus and Sheffer sequences of polynomials

Abstract

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