Identities derived from a particular class of generating functions for Frobenius-Euler type Simsek numbers and polynomials

Abstract

In this paper, by aid of the derivative of a particular class of generating functions for FrobeniusEuler type Simsek numbers and polynomials, we obtain some formulas. Moreover, we derive some Riemann integral and p-adic integral formulas for the Frobenius-Euler type Simsek polynomials mentioned above. We also construct a Szasz-type linear positive operator by using generating function for Frobenius Euler-type Simsek polynomials. Finally, some numerical results of this operator with convergence properties associated with the rate of modulus are presented.