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Dergiler / 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
Sayfa
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Yayın Tarihi
2025-04-28
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We investigate representation theorem and integral representation theorem for functions in the class $\mathcal{ST}_{lh}(s)$.
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Sonuç & Katkı:Further, we determine radius of starlikeness for functions in the classes $\mathcal{ST}_{lh}(s)$ and $\mathcal{CST}_{lh}(s)$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

  1. Z. Abdulhadi, Typically real log-harmonic mappings, Int. J. Math. Math. Sci. 31, 1–9, 2002.
  2. Z. Abdulhadi, Close-to-starlike log-harmonic mappings, Int. J. Math. Math. Sci. 19, 563–574, 1996.
  3. Z. Abdulhadi and D. Bshouty, Univalent functions in $H\overline{H}(\mathbb{D})$, Tran. Amer. Math. Soc. 305, 841–849, 1988.
  4. Z. Abdulhadi and Y. Abu Muhanna, Starlike log-harmonic mappings of order alpha, J. Inequal. Pure Appl. Math. 7, Article 123, 2006.
  5. Z. Abdulhadi and W. Hengartner, Spirallike log-harmonic mappings, Complex Variables: Theory Appl. 9, 121–130, 1987.
  6. Z. Abdulhadi and W. Hengartner, One pointed univalent log-harmonic mappings, J. Math. Anal. Appl. 203, 333–351, 1996.
  7. N. E. Cho, V. Kumar, S. S. Kumar and V. Ravichandran, Radius problems for starlike functions associated with the sine function, Bull. Iranian Math. Soc. 45, 213–232, 2019.
  8. P. L. Duren, Univalent functions, Springer, New York, 1983.
  9. W. Janowski, Some extremal problems for certain families of analytic functions I, Ann. Polon. Math. 28, 297–326, 1973.
  10. Z. Liu and S. Ponnusamy, Some properties of univalent log-harmonic mappings, Filomat, 32, 5275–5288, 2018.
  11. W. C. Ma and D. Minda, A unified treatment of some special classes of univalent functions, in Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157–169, Conf. Proc. Lecture Notes Anal., I Int. Press, Cambridge, MA.
  12. Z. Abdulhadi and W. Hengartner, One pointed univalent log-harmonic mappings, J. Math. Anal. Appl. 203, 333–351, 1996.