Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Certain subclasses of bi-univalent functions related to k-Fibonacci numbers

Pages
—
Publication Date
2019-08-01
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we introduce and investigate new subclasses of bi-univalent

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce and investigate new subclasses of bi-univalent
📊
Key Findings & Data:In this paper, we introduce and investigate new subclasses of bi-univalent
💡
Conclusion & Impact:In this paper, we introduce and investigate new subclasses of bi-univalent
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic functions · bi-univalent · k-fibonacci numbers

Abstract

In this paper, we introduce and investigate new subclasses of bi-univalent

🔖

Cite This Article

Güney, H., Murugusundaramoorthy, G., Sokol, J. (2019). Certain subclasses of bi-univalent functions related to k-Fibonacci numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.505287

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. Brannan D.A., Clunie J. and Kirwan W.E., Coefficient estimates for a class of star-like functions, Canad. J. Math., Vol.22 (1970), 476--485.
  2. Brannan D.A. and Taha T.S., On some classes of bi-univalent functions, Studia Univ. Babes-Bolyai Math., Vol. 31, No.2 (1986), 70--77.
  3. Bulut S., Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator, Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat., Vol.66 (2017), 108--114.
  4. Çaglar M. and Deniz E., Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator, Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat., Vol.66 (2017), 85--91.
  5. Duren P.L., Univalent Functions, in: Grundlehren der Mathematischen Wissenschaften, Band 259, New York, Berlin, Heidelberg and Tokyo, Springer-Verlag, 1983.
  6. Güney H.Ö., Murugusundaramoorthy G. and Sokół J., Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers, Acta Univers. Sapientiae, Mathematica, Vol.10, No.1 (2018), 70--84.
  7. Güney H.Ö., Sokół J. and İlhan S., Second Hankel determinant problem for some analytic function classes connected with k-Fibonacci numbers, Acta Univers. Apulensis, Vol.54 (2018), 161--174.
  8. Lewin M., On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc., Vol.18 (1967), 63--68.
  9. Li X-F. and Wang A-P., Two new subclasses of bi-univalent functions, Inter. Math. Forum, Vol.7, No.30 (2012), 1495--1504.
  10. Özgür N.Y. and Sokół J., On starlike functions connected with k-Fibonacci numbers, Bull. Malaysian Math. Sci. Soc., Vol.38, No.1 (2015), 249--258.
  11. Pommerenke, Ch., Univalent Functions, in: Studia Mathematica Mathematische Lehrbucher, Vanderhoeck and Ruprecht, Göttingen, 1975.
  12. Sokół J., On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis, Vol.175, No.23 (1999), 111--116.
  13. Sokół J., Remarks on shell-like functions, Folia Scient. Univ. Tech. Resoviensis, Vol.181, No.24 (2000), 111-115.
  14. Srivastava H.M., Mishra A.K. and Gochhayat P., Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett., Vol.23, No.10 (2010), 1188--1192.
  15. Xu Q.-H., Gui Y.-C. and Srivastava H.M., Coefficinet estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett., Vol.25 (2012), 990--994.
  16. Zaprawa P., On the Fekete-Szegö problem for classes of bi-univalent functions, Bull. Belg. Math. Soc. Simon Stevin, Vol.21, No.1 (2014), 169--178.