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Two variable higher-order central Fubini polynomials

Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order Fubini polynomials. We investigate some prope... Full description

Journal Title: Journal of Inequalities and Applications 2019, Vol.2019(1), pp.1-13
Main Author: Kim, Taekyun
Other Authors: Kim, Dae , Jang, Gwan-Woo , Kim, Dojin
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: E-ISSN: 1029-242X ; DOI: 10.1186/s13660-019-2100-0
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recordid: springer_jour10.1186/s13660-019-2100-0
title: Two variable higher-order central Fubini polynomials
format: Article
creator:
  • Kim, Taekyun
  • Kim, Dae
  • Jang, Gwan-Woo
  • Kim, Dojin
subjects:
  • Two variable higher-order central Fubini polynomials
  • Two variable central Fubini polynomials
  • Umbral calculus
ispartof: Journal of Inequalities and Applications, 2019, Vol.2019(1), pp.1-13
description: Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order Fubini polynomials. We investigate some properties, identities, and recurrence relations for these polynomials by making use of generating functions and umbral calculus. In particular, we obtain various expressions for the two variable higher-order central Fubini polynomials and express them in terms of some families of special polynomials and vice versa.
language: eng
source:
identifier: E-ISSN: 1029-242X ; DOI: 10.1186/s13660-019-2100-0
fulltext: fulltext_linktorsrc
issn:
  • 1029-242X
  • 1029242X
url: Link


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subjectTwo variable higher-order central Fubini polynomials ; Two variable central Fubini polynomials ; Umbral calculus
descriptionRecently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order Fubini polynomials. We investigate some properties, identities, and recurrence relations for these polynomials by making use of generating functions and umbral calculus. In particular, we obtain various expressions for the two variable higher-order central Fubini polynomials and express them in terms of some families of special polynomials and vice versa.
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descriptionRecently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order Fubini polynomials. We investigate some properties, identities, and recurrence relations for these polynomials by making use of generating functions and umbral calculus. In particular, we obtain various expressions for the two variable higher-order central Fubini polynomials and express them in terms of some families of special polynomials and vice versa.
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abstractRecently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order Fubini polynomials. We investigate some properties, identities, and recurrence relations for these polynomials by making use of generating functions and umbral calculus. In particular, we obtain various expressions for the two variable higher-order central Fubini polynomials and express them in terms of some families of special polynomials and vice versa.
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