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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 54 Issue: 2

Log-Harmonic mappings associated with the sine function

Sushil Kumar Kumar(Bharati Vidyapeeth's College of Engineering)0000-0003-4665-8011
Asena Çetinkaya(ISTANBUL KULTUR UNIVERSITY)0000-0002-8815-5642
Hatice Esra Özkan Uçar(İstanbul Health and Technology University)0000-0003-3787-5989
Pages
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Publication Date
2025-04-28
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Further, we determine radius of starlikeness for functions in the classes $\mathcal{ST}_{lh}(s)$ and $\mathcal{CST}_{lh}(s)$.

📌 3 Key Takeaways

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Objective & Hypothesis: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 ${\mathbb D}$.
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Key Findings & Data:We investigate representation theorem and integral representation theorem for functions in the class $\mathcal{ST}_{lh}(s)$.
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Conclusion & Impact:Further, we determine radius of starlikeness for functions in the classes $\mathcal{ST}_{lh}(s)$ and $\mathcal{CST}_{lh}(s)$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:starlike function · sine starlike log-harmonic mapping · radius of starlikeness

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 $\mathcal{CST}_{lh}(s)$.

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Cite This Article

Kumar, S. K., Çetinkaya, A., Uçar, H. E. Ö. (2025). Log-Harmonic mappings associated with the sine function. Hacettepe Journal of Mathematics and Statistics, Volume: 54 Issue: 2. https://doi.org/10.15672/hujms.1386151

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