Poly-Cauchy numbers and polynomials of the second kind

Abstract

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.

17 pages

References in corpus (2)

• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• Poly-Cauchy numbers and polynomials with umbral calculus viewpoint

Cited by in corpus (1)

• Poly-Cauchy numbers -- the combinatorics behind