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

Dae Kim, Taekyun Kim
2014 Advances in Difference Equations  
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.
doi:10.1186/1687-1847-2014-36 fatcat:lcmdfvlbe5fjtmtb2wt6bo7xwu