Certain Results on Subclasses of Analytic and Bi-Univalent Functions Associated with Coefficient Estimates and Quasi-Subordination

Author:

Badiwi Elaf Ibrahim1,Atshan Waggas Galib2ORCID,Alkiffai Ameera N.1,Lupas Alina Alb3ORCID

Affiliation:

1. Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf 54001, Iraq

2. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58002, Iraq

3. Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania

Abstract

The purpose of the present paper is to introduce and investigate new subclasses of analytic function class of bi-univalent functions defined in open unit disks connected with a linear q-convolution operator, which are associated with quasi-subordination. We find coefficient estimates of h2, h3 for functions in these subclasses. Several known and new consequences of these results are also pointed out. There is symmetry between the results of the subclass fq,∑ μ(ζ,n,ρ,σ,ϑ,γ,δ,φ) and the results of the subclass ℵ∑q,δλ,ζ,n,ρ,σ,ϑ,φ.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference33 articles.

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3. Linear q-difference equations;Risha;Z. Anal. Anwend.,2007

4. Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions;Ali;Appl. Math. Lett.,2012

5. Duren, P.L. (1983). Univalent Functions, Springer.

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