Powers under umbral composition and degeneration for Sheffer sequences

Dae San Kim; Taekyun Kim; Hyuck In Kwon; Toufik Mansour

doi:10.1186/s13662-016-0795-5

Powers under umbral composition and degeneration for Sheffer sequences

Dae San Kim, Taekyun Kim, Hyuck In Kwon, Toufik Mansour

Department of Mathematics

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

Abstract

In this paper we study the powers under umbral composition and degeneration for Sheffer sequences, where we presented several applications related to Bernoulli polynomials, Frobenius-Euler polynomials, falling factorial polynomials and Bell polynomials and their degeneration cases.

Original language	English
Article number	66
Journal	Advances in Difference Equations
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13662-016-0795-5
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Kim et al.

Keywords

Bell polynomials
Bernoulli polynomials
Korobov polynomials
degeneration; Sheffer sequence
falling factorial polynomials
umbral calculus
umbral composition

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/s13662-016-0795-5

Cite this

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title = "Powers under umbral composition and degeneration for Sheffer sequences",

abstract = "In this paper we study the powers under umbral composition and degeneration for Sheffer sequences, where we presented several applications related to Bernoulli polynomials, Frobenius-Euler polynomials, falling factorial polynomials and Bell polynomials and their degeneration cases.",

keywords = "Bell polynomials, Bernoulli polynomials, Korobov polynomials, degeneration; Sheffer sequence, falling factorial polynomials, umbral calculus, umbral composition",

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T1 - Powers under umbral composition and degeneration for Sheffer sequences

AU - Kim, Dae San

AU - Kim, Taekyun

AU - Kwon, Hyuck In

AU - Mansour, Toufik

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In this paper we study the powers under umbral composition and degeneration for Sheffer sequences, where we presented several applications related to Bernoulli polynomials, Frobenius-Euler polynomials, falling factorial polynomials and Bell polynomials and their degeneration cases.

AB - In this paper we study the powers under umbral composition and degeneration for Sheffer sequences, where we presented several applications related to Bernoulli polynomials, Frobenius-Euler polynomials, falling factorial polynomials and Bell polynomials and their degeneration cases.

KW - Bell polynomials

KW - Bernoulli polynomials

KW - Korobov polynomials

KW - degeneration; Sheffer sequence

KW - falling factorial polynomials

KW - umbral calculus

KW - umbral composition

UR - https://www.scopus.com/pages/publications/84959458179

U2 - 10.1186/s13662-016-0795-5

DO - 10.1186/s13662-016-0795-5

M3 - Article

AN - SCOPUS:84959458179

SN - 1687-1839

VL - 2016

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 66

ER -

Powers under umbral composition and degeneration for Sheffer sequences

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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