Certain Subclass of Analytic and Multivalent Functions Defined by Using a Certain Fractional Derivative Operator

نویسنده

  • M. K. AOUF
چکیده

Making use of a certain operator of fractional derivative, a new subclass Fλ(n, p, α, μ) of analytic and p-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, a distortion theorem and radii of p-valently closeto-convexity, starlikeness and convexity are given. Finally several applications involving an integral operator and a certain fractional calculus operator are also considered.

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تاریخ انتشار 2013