Radius of strongly starlikeness for certain analytic functions

For analytic functions f(z)=zp+ap+1zp+1+⋯ in the open unit disk U and a polynomial Q(z) of degree n>0, the function F(z)=f(z)[Q(z)]β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z)

Subclasses of Analytic and Multivalent Functions Defined by Extended Derivative Operator of Ruscheweyh’s Type

By means of certain extended derivative operator of Ruscheweyh’s type, we introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various results obtained here for each of these subclasses included coefficient estimate, distortion theorem, radius of starlikeness, convexity and closure theorem. Keywords & Phrases: - Multivalent function, coefficient estimate, distortion theorem, radius of starlikeness, differential operator