A new univalent integral operator defined by the Opoola differential operator

In this investigation, using Opoola differential operator (D^{m}(\mu,\beta,t)f(z)), a new integral operator: I_{t,\beta,\mu}^{m,\sigma}(f_{۱},...,f_{n})(z): A^{n}\rightarrow A  is defined in the unit disk, U=\left\lbrace z\in C:\left|z\right|<۱\right\rbrace; and we investigated the Univalence conditions of this generalized operator. Finally, a number of corollaries and remarks which show the extension of our results are presented.

Keywords:

Analytic functions , Univalent functions starlike functions , Convex functions , close-to-convex functions , Integral Operator