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Extended r -central Bell polynopmials with umbral calculus viewpoint

Recently, extended r -central factorial numbers of the second kind and extended r -central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polyn... Full description

Journal Title: Advances in Difference Equations 2019, Vol.2019(1), pp.1-17
Main Author: Jang, Lee-Chae
Other Authors: Kim, Taekyun , Kim, Dae , Kim, Han
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: E-ISSN: 1687-1847 ; DOI: 10.1186/s13662-019-2141-1
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recordid: springer_jour10.1186/s13662-019-2141-1
title: Extended r -central Bell polynopmials with umbral calculus viewpoint
format: Article
creator:
  • Jang, Lee-Chae
  • Kim, Taekyun
  • Kim, Dae
  • Kim, Han
subjects:
  • Extended -central factorial numbers of the second kind
  • Extended -central Bell polynomials
  • Umbral calculus
ispartof: Advances in Difference Equations, 2019, Vol.2019(1), pp.1-17
description: Recently, extended r -central factorial numbers of the second kind and extended r -central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polynomials using umbral calculus techniques. Especially, we will represent the extended r -central Bell polynomials in terms of quite a few families of well-known special polynomials.
language: eng
source:
identifier: E-ISSN: 1687-1847 ; DOI: 10.1186/s13662-019-2141-1
fulltext: fulltext_linktorsrc
issn:
  • 1687-1847
  • 16871847
url: Link


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identifierE-ISSN: 1687-1847 ; DOI: 10.1186/s13662-019-2141-1
subjectExtended -central factorial numbers of the second kind ; Extended -central Bell polynomials ; Umbral calculus
descriptionRecently, extended r -central factorial numbers of the second kind and extended r -central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polynomials using umbral calculus techniques. Especially, we will represent the extended r -central Bell polynomials in terms of quite a few families of well-known special polynomials.
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abstractRecently, extended r -central factorial numbers of the second kind and extended r -central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polynomials using umbral calculus techniques. Especially, we will represent the extended r -central Bell polynomials in terms of quite a few families of well-known special polynomials.
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