English

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

Complex Variables 2019-04-18 v1

Abstract

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

Keywords

Cite

@article{arxiv.1904.07913,
  title  = {On a Subclass of p-Valent Functions with Negative Coefficients Defined by Using Rafid Operator},
  author = {A. H. El-Qadeem and S. K. Al-ghazal},
  journal= {arXiv preprint arXiv:1904.07913},
  year   = {2019}
}
R2 v1 2026-06-23T08:41:54.405Z