Abstract. We introduce a new type of `poly-Cauchy polynomials' defined by a certain generating function. These polynomials are generalizations of the classical Cauchy polynomials and poly-Cauchy numbers. We give their explicit expression and prove basic properties; the addition formula, iterated integral expression, differential relations and recurrence formula. We also give new type zeta functions associated with the poly-Cauchy polynomials.
AMS Subject Classification
(1991): 05A15, 11B68, 11B75, 11M41
generalized Bernoulli polynomials,
Received February 13, 2013, and in revised form January 7, 2014. (Registered under 11/2013.)