LOG HARMONIC MAPPINGS ASSOCIATED WITH THE SINE FUNCTION

Year 2024, Early Access, 1 - 10

Sushil Kumar Kumar , Asena Çetinkaya , Hatice Esra Özkan Uçar

https://doi.org/10.15672/hujms.1386151

Abstract

In this paper, we define new subclasses $\mathcal{ST}_{lh}(s)$ and $\mathcal{CST}_{lh}(s)$ of sin starlike log-harmonic mappings and sin close to starlike log-harmonic mappings, respectively, defined in the open unit disc $\de$. We investigate representation theorem and integral representation theorem for functions $f \in \mathcal{ST}_{lh}(s)$. Further, we determine radii of starlikeness for such functions.

Keywords

Starlike function, log-harmonic mappings, radii of starlikeness, integral representation

References

• [1] Z. Abdulhadi, Typically real log-harmonic mappings, Int. J. Math. Math. Sci. 31, 1–9, 2002