International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/3320
2020
2020
Investigating Inclusion, Neighborhood, and Partial Sums Properties for a General Subclass of Analytic Functions
School of Engineering, Math, Technology, Navajo Technical University, Crownpoint, NM 87313, USA
Mohamed
Mohamed
School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia
Maisarah Haji
Mohd
Department of Mathematics, The University of Jordan, Amman 11942, Jordan; Jadara University Research Center, Jadara University, Irbid 21110, Jordan
Feras
Yousef
School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia
Shamani
Supramaniam
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.
2025
2025
501
510
10.54216/IJNS.250341
https://www.americaspg.com/articleinfo/21/show/3320