INTRODUCING A NOVEL SUBCLASS OF HARMONIC FUNCTIONS WITH CLOSE-TO-CONVEX PROPERTIES
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.15, no.9, pp.2181-2191, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 9
- Publication Date: 2025
- Doi Number: 10.5281/zenodo.18457381
- Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.2181-2191
- Keywords: 30C45, 30C50, Close-to-convex functions, Distortion, Harmonic functions, Starlike functions
- Istanbul Gelisim University Affiliated: Yes
Abstract
In this paper, we introduce a new subclass of close-to-convex harmonic functions. We present a sufficient coefficient condition for a function to be a member of this class. Furthermore, we establish a distortion theorem. These results lay the groundwork for extending the findings to function classes involving higher-order derivatives.