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2023•Preprints.orgOpen access

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

Elaf Ibrahim Badiwi, Waggas Galib Atshan, Ameera N. Alkiffai, Alina Alb Lupaş

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Abstract

The purpose of the present paper is to introduce and investigate new subclasses of analytic function class of bi univalent function defined in open unit disk connected with a linear q-convolution operator, which are associated with the quasi-subordination. We find coefficients estimate |h_2 |,|h_3 | for functions in these subclasses. Several known and new consequences of these results are also pointed out.

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The purpose of the present paper is to introduce and investigate new subclasses of analytic function class of bi univalent function defined in open unit disk connected with a linear q-convolution operator, which are associated with the quasi-subordination. We find coefficients estimate |h_2 |,|h_3 | for functions in these subclasses. Several known and new consequences of these results are also pointed out.

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Available abstract

The purpose of the present paper is to introduce and investigate new subclasses of analytic function class of bi univalent function defined in open unit disk connected with a linear q-convolution operator, which are associated with the quasi-subordination. We find coefficients estimate |h_2 |,|h_3 | for functions in these subclasses. Several known and new consequences of these results are also pointed out.

Key concepts: Subordination (linguistics), Unit disk, Analytic function, Convolution (computer science), Univalent function, Mathematics, Class (philosophy), Function (biology)

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