Geometric Characteristics of Specific Classes Associated with q-Janowski Functions

In this paper, we integrate the concepts of spiral-like functions and Janowski-type functions within the framework of q-calculus to define new subclasses in the open unit disk. Our primary focus is on analyzing convolution conditions that form the foundation for further theoretical developments. The main contributions include establishing sufficient conditions and applying Robertson’s theorem. Furthermore, motivated by a recent definition, we propose analogous neighborhood concepts for the above-mentioned classes, and we explore the corresponding neighborhood results.

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Journal
Axioms
Published
2025-09-15
DOI
https://doi.org/10.3390/axioms14090696
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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article

Geometric Characteristics of Specific Classes Associated with q-Janowski Functions

Alaa Awad Alzulaibani, Abdulbasit A. Darem, Fuad Alsarari, A. Touati
Axioms
Analytic and geometric function theory
article

Geometric Characteristics of Specific Classes Associated with q-Janowski Functions

Alaa Awad Alzulaibani, Abdulbasit A. Darem, Fuad Alsarari, A. Touati
article en

Abstract

In this paper, we integrate the concepts of spiral-like functions and Janowski-type functions within the framework of q-calculus to define new subclasses in the open unit disk. Our primary focus is on analyzing convolution conditions that form the foundation for further theoretical developments. The main contributions include establishing sufficient conditions and applying Robertson’s theorem. Furthermore, motivated by a recent definition, we propose analogous neighborhood concepts for the above-mentioned classes, and we explore the corresponding neighborhood results.

AxiomsVol. 14(9)
Northern Border University (SA), Taibah University (SA)
Openalex Percentile: Top 69%
Analytic and geometric function theory
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