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Title q-Extension of Starlike Functions Subordinated with Cosine Hyperbolic Function

Author(s) Sara Sami

Abstract By merging classical mathematical principles with the innovative framework of quantum calculus, this thesis pioneer new advancements in the study of analytic functions. This thesis will advance the understanding of analytic functions by integrating classical principles with quantum calculus. It will introduce the class S∗ˆqcosh ˆ, which will extend starlike functions associated with ˆqˆ-cosine hyperbolic function. Through the application of the ˆqˆ-derivative operator and subordination techniques, the research will explore key properties such as coefficient bounds, Zalcman functional, Fekete-Szegö problem and Hankel Determinants. The results, anticipated to be validated as ˆqˆ approaches to 1 −, will demonstrate significant progress beyond existing theories, enhancing both the theoretical and practical aspects of quantum calculus.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2024-10-23

Subject Mathematics

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