Certain Class of <i>P</i>-Valent Analytic Function Associated with Derivative Operator and Their Properties

This study aims to define a new subclass of multivalent analytic functions in the open unit disk. Jackson's derivative operator has been used to generate this subclass. Before getting coefficient characterization, we look at certain needs for the functions related to this subclass. We can see several fascinating features, including coefficient estimates, growth and distortion theorem, extreme points, and the radius of starlikeness and convexity of functions belonging to the subclass are shown using this technique.

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Publication Details

Journal
Contemporary Mathematics
Published
2024-11-11
DOI
https://doi.org/10.37256/cm.5420242456
Primary Topic
Analytic and geometric function theory
Type
article
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article

Certain Class of P-Valent Analytic Function Associated with Derivative Operator and Their Properties

Ma’moun I. Y. Alharayzeh
Contemporary Mathematics
Analytic and geometric function theory
article

Certain Class of P-Valent Analytic Function Associated with Derivative Operator and Their Properties

Ma’moun I. Y. Alharayzeh
article en

Abstract

This study aims to define a new subclass of multivalent analytic functions in the open unit disk. Jackson's derivative operator has been used to generate this subclass. Before getting coefficient characterization, we look at certain needs for the functions related to this subclass. We can see several fascinating features, including coefficient estimates, growth and distortion theorem, extreme points, and the radius of starlikeness and convexity of functions belonging to the subclass are shown using this technique.

Contemporary Mathematics
Al-Balqa Applied University (JO)
Industry, innovation and infrastructure
Openalex Percentile: Top 69%
Analytic and geometric function theory
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