New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums

By applying p-adic integral on the set of integers in [27] (Interpolation Functions for New Classes Special Numbers and Polynomials via Applications Integrals Derivative Operator, Montes Taurus J. Pure Appl. Math. 3 (1), ...--..., 2021 Article ID: MTJPAM-D-20-00000), we constructed generating function special numbers polynomials involving following combinatorial sum numbers: y(n,\lambda )=\sum_{j=0}^{n}\frac{(-1)^{n}}{(j+1)\lambda ^{j+1}\left(\lambda -1\right) ^{n+1-j}} The aim this paper is to use y(n,{\lambda}) derive some new novel identities formulas associated with Bernstein basis functions, Fibonacci numbers, Harmonic alternating binomial coefficients Riemann integral. We also investigate study open problems [27]. Moreover, give relation among y(n,(1/2)), Digamma function, Euler constant. Finally, conclusions results comments observations.