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Title On a New Class of q-Starlike Function Associated with Sine Inverse Hyperbolic Function

Author(s) Sadia Munir

Abstract The aim of this thesis is to present and describe new subclass of univalent functions within the open unit disk. The q-extension of the starlike functions subordinated to inverse sine hyperbolic function will be determined by applying q-calculus. Furthermore, we will look into noteworthy properties, including coefficient bounds, the Fekete-Szeg ¨ o inequality, and the Zalcman functional. The upper bounds on Hankel Determinants for functions belong to this newly defined class will also be explored. It will be demonstrated that recently acquired results are more advanced than those previously obtained by a large number of researchers in the field of Geometric Function Theory. The special cases of newly derived results will be presented in the form of corollaries.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2024-10-29

Subject Mathematics

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