International Journal of Nonlinear Analysis and Applications

Maclaurin coefficient estimates of te-univalent functions connected with the (p,q)-derivative

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt

2 Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq

Abstract

In this paper, we introduce a new subclass of analytic and te-univalent functions in the open unit disc associated with the operator $\mathcal{T}_{\zeta }^{\lambda ,p,q}$, which is defined by using the (p,q)-derivative. We obtain the coefficient estimates and Fekete-Szeg\H{o} inequalities for the functions belonging to this class.The various results presented in this paper would generalize and improve those in related works of several earlier authors.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 2751-2762
  • Receive Date: 10 April 2022
  • Accept Date: 15 July 2022