On a Subclass of p-Valent Functions with Negative Coefficients Defined by Using Rafid Operator

Abstract

By using Rafid operator we define the subclass R δ µ,p (α; A, B) and P δ µ,p (α; A, B) of analytic and p-valent functions with negative coefficients we investigate some sharp results including coefficients estimates, distortion theorem, radii of starlikeness, convexity, close-to-convexity, and modified-Hadamard product. Finally, we give an application of fractional calculus and Bernadi-Libora-Livingstion operator.

Some Aspect of Certain two Subclass of Analytic Functions with Negative Coefficients Defined by Rafid Operator

“…Also, we shall need the following two lemmas. Lemma 1 (see [5]). Let the function f (z) be given by (1.1).…”