Volume 25 , Issue 3 , PP: 501-510, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Mohamed Illafe 1 * , Maisarah Haji Mohd 2 , Feras Yousef 3 , Shamani Supramaniam 4
Doi: https://doi.org/10.54216/IJNS.250341
The study of geometric properties within the subclass of analytic functions has garnered significant attention in recent years due to its complex and intricate interplay between geometric function theory and complex analysis. This area of study provides deep insights into both mathematical theory and its practical applications. The exploration of these properties is not only of theoretical interest but also offers valuable implications for various applications in mathematical and engineering disciplines. In particular, this paper focuses on a detailed examination of the inclusion, neighborhood, and partial sums properties within a broad and general subclass of analytic functions. This class of functions is defined through a generalized multiplier transformation operator, which adds a layer of complexity to their analysis. By investigating these specific properties, this study aims to validate and build upon many existing findings documented in the literature, offering new perspectives and contributing to a deeper understanding of the field.
Analytic functions , inclusion , neighborhood , partial sums
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