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Title q-Extension of Starlike functions with respect to symmetric points subordinated with q-sine function

Author(s) Ayesha Shakeel

Abstract This thesis aims to introduce and characterize novel subclasses of univalent functions within the open unit disk. The utilization of q-calculus will be employed to establish the q-extension of starlike and convex functions related to symmetric points. Additionally, we will investigate notable properties, including bounds on the coefficients of analytic functions, the Zalcman functional, and the Fekete–Szego inequality. Furthermore, we will explore upper bounds on ˝Hankel Determinants for functions belonging to these newly defined classes. It will be shown that newly obtained results are advanced as compare to the already derived results by numerous 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 2024-03-04

Subject Mathematics

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