Some Applications of Quasi-Subordination for Bi-Univalent Functions Using Jackson’s Convolution Operator

Waggas Galib Atshan; Reaam Abd Al-sajjad

doi:10.24996/ijs.2022.63.10.28

Authors

Waggas Galib Atshan Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah-Iraq
Reaam Abd Al-sajjad Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah-Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.10.28

Keywords:

bi-univalent function, Quasi–subordination, coefficient estimates, subordination

Abstract

In this paper, subclasses of the function class ∑ of analytic and bi-univalent functions associated with operator L_q^(k, λ) are introduced and defined in the open unit disk △ by applying quasi-subordination. We obtain some results about the corresponding bound estimations of the coefficients a_(2 ) and a_(3 ).