Subclass of univalent functions involving Raducanu-Orhan differential operator connected with Pascal distribution series

Recent years have shown us how fascinating the univalent function is many new publications have been written in this field. Currently, operators of normalized analytic functions, differential and integral operators are highly sought after. Numerous researchers have examined and debated a great deal of material for the operators. This work introduces a new subclass of the function class for univalent functions defined by the Raducanu-Orhan differential operator connected with pascal distribution series. Our goal in this work is to further our understanding and make inferences regarding the functions that are a part of these new subclass. Furthermore, the convexity of the subclass, growth and distortion, radius of starlike, extreme points, and integral means of inequalities are obtained. All this research was performed inside an open unit disc.

Authors

Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-02-21
DOI
https://doi.org/10.52783/cana.v32.3958
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Subclass of univalent functions involving Raducanu-Orhan differential operator connected with Pascal distribution series

K. Saravanan
1 links
Communications on Applied Nonlinear Analysis
Differential Equations and Boundary Problems
article

Subclass of univalent functions involving Raducanu-Orhan differential operator connected with Pascal distribution series

K. Saravanan
article en

Abstract

Recent years have shown us how fascinating the univalent function is many new publications have been written in this field. Currently, operators of normalized analytic functions, differential and integral operators are highly sought after. Numerous researchers have examined and debated a great deal of material for the operators. This work introduces a new subclass of the function class for univalent functions defined by the Raducanu-Orhan differential operator connected with pascal distribution series. Our goal in this work is to further our understanding and make inferences regarding the functions that are a part of these new subclass. Furthermore, the convexity of the subclass, growth and distortion, radius of starlike, extreme points, and integral means of inequalities are obtained. All this research was performed inside an open unit disc.

Communications on Applied Nonlinear AnalysisVol. 32(9s)
Openalex Percentile: Top 91%
Differential Equations and Boundary Problems
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