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Title On a new class of q-starlike functions with respect to boundary point

Author(s) Tayyab Munir

Abstract The aim of this research is to introduce and discuss properties of new subclasses of analytic functions in the open unit disc. The concepts of q-calculus will be used to define the q-extensions of already existing results for starlike functions. We will investigate the results thoroughly which are previously find by the researcher such as integral representation theorem, Fekete-Szegö Inequality, coefficient bounds and differential subordination results related to the class of starlike functon with respect to a boundary point. The new class of q-starlike functions with respect to a boundary point subordinated with exponential function will be introduced. Coefficient estimates, integral representation theorem, Fekete-Szegö inequality, covering and differential subordination results will be examined for our new class. The relevant connections of our new classes and results to known ones are also pointed out.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2024-07-12

Subject Mathematics

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