Abstract

Let A(p) be denote the class of functions that are analytic in the unit disk E which have the form; f(z) = zp +ap+1 zp+1 + ap+2 zp+2 + ap+3zp+3 +.... the class of functions satisfying the geometric condition Re{ (Mnσ,p f(z)) / zp } >β was defined where, Mnσ,p : A(p) -> A(p) is an operator define using convolution * The main concern of this work is to obtain some basic properties of the class with geometric condition above. These properties include; Inclusion, Growth, and Covering theorem.

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References

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