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Title Hankel Determinant of Logarithmic coefficient for a new class of q-Starlike functions associated with Lune

Author(s) Kainat Tanveer

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 of logrithmic coefficient for Starlike functions associated with lune. Additionally, we will investigate notable properties, including bounds on the coefficients of analytic functions, and the Fekete–Szeg˝o inequality. Furthermore, we will explore Second 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 2024-12-10

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