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

Authors : Nihat YAĞMUR, Ömer ÇETİN, Hüseyin IRMAK

Pages : 135-144

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Publication Date : 2014-03-12

Article Type : Research Paper

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