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Abstract.Let g(z) be analytic and \g(z)\^l in \z\<\; g(z)= iLi>atzk, p^l, then a sharp upper bound is derived for \g'(z)\.Let h(z) be analytic for |z|a where 0^a

Abstract.Sharp bounds are derived for the derivative of analytic functions of class .P,, defined by the condition |/>(z) -l/2a|<: l/2a, O^a^l, p(f>) = \. These results are improved for the class of functions with missing terms. Application is made to the class of functions with derivative G Px and the radius of convexity is determined for this class.

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