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arxiv: 1308.1826 · v1 · pith:SUVD2CT3new · submitted 2013-08-08 · 🧮 math.NT

Poly-Cauchy numbers and polynomials of the second kind

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keywords kindpolynomialssecondpoly-cauchynumbersbernoullicalculusconsider
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In this paper, we consider the poly-cauchy polynomials and numbers of the second kind which were studied by Komatsu in [10]. 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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