  The main objective of this paper is to present recurrence relations for the
generalized poly-Cauchy numbers and polynomials. This is accomplished by
introducing the concept of generalized m-poly-Cauchy numbers and polynomials.
Additionally, the paper delves into the discussion of the corresponding
generalized m-poly-Bernoulli numbers and polynomials that are associated with
the aforementioned generalized m-poly-Cauchy numbers and polynomials.
