Generalizations of Libera integral operator for analytic functions

Let 𝒜 _p be the class of functions f of the form f(z)=zp+ap+1zp+1+ap+2zp+2+⋯ f\left( z \right) = {z^p} + {a_{p + 1}}{z^{p + 1}} + {a_{p + 2}}{z^{p + 2}} + \cdots that are analytic in the open unit disk 𝕌. For f ∈ 𝒜 _p, new integral and differential operator _nf is considered. The object of the present paper is to discuss some interesting properties of _nf and to consider some examples for our results.