ON A GENERALIZATION OF GENOCCHI AND POLY-GENOCCHI POLYNOMIALS

The Genocchi numbers were introduced by the Angelo Genocchi, and have been widely studied across various fields of pure and applied mathematics. In this paper, we define three special polynomials that are generalizations of the Genocchi polynomial and numbers, and find some relationships between the probablistic Stirling numbers of the second kind, probabilistic Bell polynomials, probablistic Bernoulli polynomials, the Stirling numbers of the first and the second kind, Genocchi polynomials and those polynomials and numbers.