Work

Geometric Properties of Generalized Janowski Type Functions

Year: 2025

Type: article

Abstract: The present paper aims to explore subclasses of analytic functions that extend the class of Janowski-type functions. We examine specific convolution conditions that ensure functions h fall within the generalized Janowski-type classes of starlike and convex functions. These conditions will serve as foundational results for further analysis in this study. Additionally, we provide sufficient conditions and neighborhood results pertinent to functions within the starlike class. Finally, we investigate the invariance properties of the operator hμ(ϑ) = (1 − μ)ϑ + μh(ϑ), 0 < μ < 1, as it applies to functions in this classification.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6520255736

Authors: Muflih Alhazmi, Al-Rezami A. Y, Erhan D, Abdulbasit A. Darem, Fuad Alsarari

Institutions: Northern Border University, Prince Sattam Bin Abdulaziz University, Kafkas University, Taibah University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Prince Sattam bin Abdulaziz University, Northern Border University

Awards: G153705873, G5791967564