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Title On Certain New Subclass of Bi-Univalent Functions using Quasi Subordination and q-Derivative

Author(s) Wajiha Bushra

Abstract This research work aims to establish and determine the new subclasses of bi-univalent functions. The ideas of quantum calculus will be applied to examine the q-extensions of previously defined classes of bi-univalent functions. We investigate the bounds of initial coefficients of subclasses of q-bi univalent functions by employing quasi-subordination. Also, we analyze the upper bounds of the initial coefficients, Fekete-Szego inequality, and upper bound of second order Hankel determinant of a subclass of bi-starlike functions by employing the q-Salagean operator. It will be indicated that the newly defined results of this research are refined and advanced compared to previous results proved by various researchers in this field. Corollaries of new estimated results will also be shown in this thesis which shows the relation between previously derived and newly estimated results.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2024-12-10

Subject Mathematics

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