Geometric properties of a new subclass of harmonic functions defined by q-differential inequality
Montes Taurus Journal of Pure and Applied Mathematics, vol.7, no.1, pp.146-156, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 7 Issue: 1
- Publication Date: 2025
- Doi Number: 10.5281/zenodo.18457663
- Journal Name: Montes Taurus Journal of Pure and Applied Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.146-156
- Keywords: coefficient bounds, distortion, q-calculus, q-close-to-convexity, q-harmonic functions
- Istanbul Gelisim University Affiliated: Yes
Abstract
This paper introduces a novel subclass of q-harmonic functions in the open unit disk, defined via an inequality involving the q-derivative operator. The geometric properties of this class, particularly its close-to-convexity characteristics, are investigated. Main results include coefficient bounds, growth estimates, and a sufficient coefficient condition ensuring class membership. Additionally, the closure properties of this subclass under convolution and convex combination are examined, highlighting its structural stability. By incorporating q-calculus, this study extends existing results in harmonic function theory and provides new insights into the geometric behavior of these functions.