Generalizations of Libera integral operator for analytic functions

OpenAlex İngilizce

Abstract Let 𝒜 p be the class of functions f of the form f ( z ) = z p + a p + 1 z p + 1 + a p + 2 z p + 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 n f is considered. The object of the present paper is to discuss some interesting properties of n f and to consider some examples for our results.