In this investigation, using Opoola differential operator ($D^{m}(\mu,\beta,t)f(z)$), a new Integral operator: $I_{t,\beta,\mu}^{m,\sigma}(f_{1},...,f_{n})(z): A^{n}\rightarrow A$  is defined in the unit disk, $U=\left\lbrace z\in C:\left|z\right|<1\right\rbrace$; 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.

In this paper, we consider a general Integral operator Gn(z). The main object of the present paper is to study some properties of this Integral operator on the classes S* (a), K (a), M (b), N (b) and KD (m, b).

Let $\mathfrak{A}$ be an algebra. A \textit{derivation} on $\mathfrak{A}$ is a linear mapping $\delta:\mathfrak{A}\to\mathfrak{A}$ such that $\delta(ab)=\delta(a)b+a\delta(b)$ for every $a,b\in\mathfrak{A}$. As a dual to this notion, we consider a linear mapping $\Delta:\mathfrak{A}\to\mathfrak{A}$ with the property $\Delta(a)\Delta(b)=\Delta(\Delta(a)b+a\Delta(b))$ for every $a,b\in\mathfrak{A}$ and we call it an \textit{integration}. In this paper, we give some examples, counterexamples and facts concerning integrations on algebras. Furthermore, we state and prove a characterization for integrations on finite dimensional matrix algebras.

We give a brief survey of recent work on Integral forms in vertex operator algebras (VOAs).

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The object of this paper is to investigate some inclusion relationships and a number of other useful properties among certain subclasses of analytic and p-valent functions, which are defined here by certain Integral operator.