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.
Authors
- Alaa Awad Alzulaibani (ORCID: https://orcid.org/0000-0003-3742-8003)
- Abdulbasit A. Darem (ORCID: https://orcid.org/0000-0002-5650-1838)
- Fuad Alsarari (ORCID: https://orcid.org/0000-0002-4759-5449)
- A. Touati
Institutions
- Northern Border University (SA)
- Taibah University (SA)
Publication Details
- 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
- 0.00