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

A. H. El-Qadeem; S. K. Al-ghazal

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arXiv · 1904.07913

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

A. H. El-Qadeem·S. K. Al-ghazal

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Abstract

By using Rafid operator we define the subclass $R_{\mu,p}^\delta(\alpha;A,B)$ and $P_{\mu,p}^\delta(\alpha; A,B)$ 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.

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A. H. El-Qadeem, S. K. Al-ghazal. 2019-04-16. On a Subclass of p-Valent Functions with Negative Coefficients Defined by Using Rafid Operator. https://arxiv.org/abs/1904.07913

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