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Title On new classes of q-Janowski type functions of Complex Order

Author(s) Rumesa Ahmed

Abstract This thesis introduces and investigates intriguing subclasses of q-starlike and q-convex functions related to Janowski-type functions of complex order. These classes are developed within the context of q-calculus, which extends traditional analytic function theory and provides a more complex structure for geometric function analysis. We examined these functions’ essential properties, such as inclusion relations, distortion bounds, coefficient estimates, and the radius of convexity. Special emphasis is placed on their behavior under certain integral operators tailored to the q-calculus scenario. The given results not only expand conventional discoveries, but also provide larger generalizations and deeper insights into the geometric behavior of these qanalogues. Our findings give a more unified and comprehensive view than the previous research on Janowski-type analytic functions.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-12-04

Subject Mathematics

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