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

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 h 2 ,   h 3 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 f q , ∑   μ (ζ , n , ρ , σ , ϑ , γ , δ , φ) and the results of the subclass ℵ ∑ q , δ λ , ζ , n , ρ , σ , ϑ , φ . [ABSTRACT FROM AUTHOR]