@article{article_1386151, title={Log-Harmonic mappings associated with the sine function}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={54}, pages={368–377}, year={2025}, DOI={10.15672/hujms.1386151}, author={Kumar, Sushil Kumar and Çetinkaya, Asena and Özkan Uçar, Hatice Esra}, keywords={starlike function, sine starlike log-harmonic mapping, radius of starlikeness, sine close-to-starlike log-harmonic mapping}, abstract={In this paper, we define new subclasses $\mathcal{ST}_{lh}(s)$ and $\mathcal{CST}_{lh}(s)$ of sine starlike log-harmonic mappings and sine close-to-starlike log-harmonic mappings, respectively, defined in the open unit disc ${\mathbb D}$. We investigate representation theorem and integral representation theorem for functions in the class $\mathcal{ST}_{lh}(s)$. Further, we determine radius of starlikeness for functions in the classes $\mathcal{ST}_{lh}(s)$ and $\mathcal{CST}_{lh}(s)$.}, number={2}, publisher={Hacettepe University}