On a subclass of analytic functions of fractal power with negative coefficients

Authors

  • Z.E. Abdulnaby Mustansiriyah University, Baghdad, Iraq
  • R.W. Ibrahim Ajman University, United Arab Emirates

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.2

Keywords:

Fractional calculus, fractional operator, analytic function, unit disk, subordination and superordination, univalent function

Abstract

The purpose of this article is to introduce a new general family of normalized analytic fractal functions in the open unit disk. We employ this class to define a fractional differential operator of two fractals. This operator, under some conditions, involves the well-known Salagean differential operator. Our method is based on the Hadamard product and its generalization of functions with negative coefficients.

Author Biographies

Z.E. Abdulnaby, Mustansiriyah University, Baghdad, Iraq

Department of Mathematics, College of Science

R.W. Ibrahim, Ajman University, United Arab Emirates

Nonlinear Dynamics Research Center (NDRC), Ajman 346

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Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS