Geometric Properties and Neighborhoods of Certain Subclass of Analytic Functions Defined by Using Bell Distribution

Authors

DOI:

https://doi.org/10.37256/cm.5420245425

Keywords:

univalent function, bell distribution (BD), starlike functions, convex functions, (t, n)-neighborhood, lnclusion relations

Abstract

A differential operator is defined on an open unit disk D using the innovative Bell Distribution operator. This operator introduces a new perspective in the study of complex functions within the disk. In this research, the established concept of neighborhoods plays a crucial role. By utilizing these neighborhoods, we aim to derive inclusion relations specifically concerning the (t, n)-neighborhoods of the classes defined by this operator. This approach allows for a deeper understanding of how these classes interact and overlap, providing valuable insights into their structural properties and potential applications in geometric function theory. Through this analysis, we hope to uncover new relationships and behaviors that can enhance our comprehension of differential operators in complex analysis.

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Published

2024-11-25

How to Cite

1.
Amourah A, Alnajar O, Salah J, Darus M. Geometric Properties and Neighborhoods of Certain Subclass of Analytic Functions Defined by Using Bell Distribution. Contemp. Math. [Internet]. 2024 Nov. 25 [cited 2024 Dec. 4];5(4):5473-81. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5425