Identities Related to Special Polynomials and Combinatorial Numbers

Abstract

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y₁(n,k;λ) and y₂(n,k;λ) which are given in SimsekNEW. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Z_{p}. Finally, we give remarks and comments on our results.