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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Coefficient estimates for bi-concave functions

F. Müge Sakar0000-0002-3884-3957
H. Özlem Güney0000-0002-3010-7795
Sayfa
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Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The coefficients estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃| were found for functions belonging to this class.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study,a new class C_{Σ}^{p,q}(α) of analytic and bi-concave functions were presented in the open unit disc.
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Temel Bulgular & Veri:In this study,a new class C_{Σ}^{p,q}(α) of analytic and bi-concave functions were presented in the open unit disc.
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Sonuç & Katkı:The coefficients estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃| were found for functions belonging to this class.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Analytic · bi-concave functions · analytic function

Abstract

In this study,a new class C_{Σ}^{p,q}(α) of analytic and bi-concave functions were presented in the open unit disc. The coefficients estimates on the first two Taylor-Maclaurin coefficients |a₂| and |a₃| were found for functions belonging to this class.

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Bu Makaleye Atıf Yap

Sakar, F. M., Güney, H. Ö. (2019). Coefficient estimates for bi-concave functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.443600

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Kaynakça (18)

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  14. Brannan, D. A. and Taha, T. S., On some classes of bi-univalent functions, Studia Univ. Babes-Bolyai Math. 2(1986), no. 31, 70-77.
  15. Cruz, L. and Pommerenke, C., On concave univalent functions, Complex Var. Elliptic Equ. 52(2007), 153-159.
  16. Duren, P. L., Univalent functions, In. Grundlehren der Mathematischen Wissenschaften, vol. 259, New York: Springer1983.
  17. Lewin, M., On a coefficient problem for be univalent functions, Proc Amer Math. Soc, 18(1967), 63-68.
  18. Srivastava, H. M., Mishra, A. K. and Gochhayat, P., Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23(2010), 1188-1192.