Umbral calculus associated with Frobenius-type Eulerian polynomials

T. Kim; T. Mansour

doi:10.1134/S1061920814040062

Umbral calculus associated with Frobenius-type Eulerian polynomials

T. Kim, T. Mansour

Department of Mathematics

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

Abstract

In this paper, we study some properties of several polynomials arising from umbral calculus. In particular, we investigate the properties of orthogonality type of the Frobeniustype Eulerian polynomials which are derived from umbral calculus. By using our properties, we can derive many interesting identities of special polynomials associated with Frobeniustype Eulerian polynomials. An application to normal ordering is presented.

Original language	English
Pages (from-to)	484-493
Number of pages	10
Journal	Russian Journal of Mathematical Physics
Volume	21
Issue number	4
DOIs	https://doi.org/10.1134/S1061920814040062
State	Published - 5 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Pleiades Publishing, Ltd.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1134/S1061920814040062

Cite this

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abstract = "In this paper, we study some properties of several polynomials arising from umbral calculus. In particular, we investigate the properties of orthogonality type of the Frobeniustype Eulerian polynomials which are derived from umbral calculus. By using our properties, we can derive many interesting identities of special polynomials associated with Frobeniustype Eulerian polynomials. An application to normal ordering is presented.",

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Umbral calculus associated with Frobenius-type Eulerian polynomials

Abstract

Bibliographical note

ASJC Scopus subject areas

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