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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Volume: 48 Issue: 6

On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Yong Sun(Hunan Institute of Engineering)0000-0001-8020-4684
Zhi-gang Wang(Hunan First Normal University)0000-0001-6118-7196
Antti Rasila(Aalto University)0000-0003-3797-942X
Sayfa
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Yayın Tarihi
2019-12-08
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Connections of the results presented here to those that can be found in the literature are also discussed.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order $\alpha$ and bounded turning functions of order $\alpha$.
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Temel Bulgular & Veri:Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained.
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Sonuç & Katkı:Connections of the results presented here to those that can be found in the literature are also discussed.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Univalent function · starlike function · convex function

Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order $\alpha$ and bounded turning functions of order $\alpha$. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.

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Bu Makaleye Atıf Yap

Sun, Y., Wang, Z., Rasila, A. (2019). On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 6. https://doi.org/10.15672/HJMS.2018.632

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