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q-Neighborhoods and Partial Sums for Certain Subclasses of Analytic Functions with Negative Coefficients

  • Ala Amourah,
  • Abdullah Alsoboh,
  • Waggas Galib Atshan,
  • Issa Al Kharusi

摘要

In the present work, we introduce a new subclasses of analytic functions with negative coefficients, using a differential operator involving q-Ruscheweyh Operator. We obtain the sufficient conditions and show some properties of functions belong to these subclasses: partial sums of its sequence and the q-neighborhoods problem are solved. Future research can focus on the symmetry properties and other properties of the subclass of functions introduced in this paper.