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Poly-Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint

In this paper, we consider the poly-Cauchy polynomials and numbers of the second kind which were studied by Komatsu. We note that the poly-Cauchy polynomials of the second kind are the special generalized Bernoulli polynomials of the second kind. The purpose of this paper is to give various identiti... Full description

Journal Title: Advances in Difference Equations 2014, Vol.2014(1), pp.1-14
Main Author: Kim, Dae
Other Authors: Kim, Taekyun
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: E-ISSN: 1687-1847 ; DOI: 10.1186/1687-1847-2014-36
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recordid: springer_jour10.1186/1687-1847-2014-36
title: Poly-Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint
format: Article
creator:
  • Kim, Dae
  • Kim, Taekyun
subjects:
  • Engineering
ispartof: Advances in Difference Equations, 2014, Vol.2014(1), pp.1-14
description: In this paper, we consider the poly-Cauchy polynomials and numbers of the second kind which were studied by Komatsu. We note that the poly-Cauchy polynomials of the second kind are the special generalized Bernoulli polynomials of the second kind. The purpose of this paper is to give various identities of the poly-Cauchy polynomials of the second kind which are derived from umbral calculus.
language: eng
source:
identifier: E-ISSN: 1687-1847 ; DOI: 10.1186/1687-1847-2014-36
fulltext: fulltext_linktorsrc
issn:
  • 1687-1847
  • 16871847
url: Link


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descriptionIn this paper, we consider the poly-Cauchy polynomials and numbers of the second kind which were studied by Komatsu. We note that the poly-Cauchy polynomials of the second kind are the special generalized Bernoulli polynomials of the second kind. The purpose of this paper is to give various identities of the poly-Cauchy polynomials of the second kind which are derived from umbral calculus.
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titlePoly-Cauchy numbers and polynomials of the second kind with umbral calculus viewpoint
descriptionIn this paper, we consider the poly-Cauchy polynomials and numbers of the second kind which were studied by Komatsu. We note that the poly-Cauchy polynomials of the second kind are the special generalized Bernoulli polynomials of the second kind. The purpose of this paper is to give various identities of the poly-Cauchy polynomials of the second kind which are derived from umbral calculus.
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abstractIn this paper, we consider the poly-Cauchy polynomials and numbers of the second kind which were studied by Komatsu. We note that the poly-Cauchy polynomials of the second kind are the special generalized Bernoulli polynomials of the second kind. The purpose of this paper is to give various identities of the poly-Cauchy polynomials of the second kind which are derived from umbral calculus.
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