SOME CONVEX FAMILIES OF MULTIVALENTLY ANALYTIC FUNCTIONS DEFINED BY USING CERTAIN OPERATORS OF FRACTIONAL DERIVATIVES

Abstract

Making use of fractional derivative operator, we introduce a general class  of functions which are analytic and p-valent in the open unit disk U, and obtain a necessary and sufficient condition for a function to be in the class , distortion bounds, inclusion property and the radii of p-valently close-to-convexity, p-valently starlikeness, p-valently convexity for this generalized class of p-valent function.

2000 Mathematics Subject Classification. Primary 30C45, 26A33, Secondary 33C05

Keywords

• P-değerli, kesirsel integral, kesirsel türev, büyüme

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