Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 6 November 2023 / Approved: 7 November 2023 / Online: 7 November 2023 (16:21:13 CET)

A peer-reviewed article of this Preprint also exists.

Badiwi, E.I.I.; Atshan, W.G.G.; Alkiffai, A.N.N.; Lupas, A.A.A. Certain Results on Subclasses of Analytic and Bi-Univalent Functions Associated with Coefficient Estimates and Quasi-Subordination. Symmetry 2023, 15, 2208. Badiwi, E.I.I.; Atshan, W.G.G.; Alkiffai, A.N.N.; Lupas, A.A.A. Certain Results on Subclasses of Analytic and Bi-Univalent Functions Associated with Coefficient Estimates and Quasi-Subordination. Symmetry 2023, 15, 2208.

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.

Keywords

analytic functions, univalent function; fractional derivatives; convolution (qderivatives); quasi–subordination; coefficient estimate

Subject

Computer Science and Mathematics, Analysis

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