Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator

Volume: 66 Number: 1 February 1, 2017
  • Murat Çağlar
  • Erhan Denız
EN

Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator

Abstract

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Keywords

References

  1. R. M. Ali, S. K. Lee, V. Ravichandran and S. Supramaniam, Coe¢ cient estimates for bi- univalent Ma-Minda starlike and convex functions, Appl. Math. Lett. 25 (3) (2012), 344–351. [2] D. A. Brannan, J.G. Clunie (Eds.), Aspects of Contemporary Complex Analysis (Proceedings of the NATO Advanced Study Institute held at the University of Durham, Durham; July 1 20, 1979), Academic Press, New York and London, 1980.
  2. D. A. Brannan and T.S. Taha, On some classes of bi-univalent functions, in: S.M. Mazhar, A. Hamoui, N.S. Faour (Eds.), Math. Anal. and Appl., Kuwait; February 18–21, 1985, in: KFAS Proceedings Series, vol. 3, Pergamon Press, Elsevier Science Limited, Oxford, 1988, pp. 53–60. see also Studia Univ. Babe¸s-Bolyai Math. 31 (2) (1986), 70–77.
  3. S. Bulut, Faber polynomial coe¢ cient estimates for a comprehensive subclass of analytic bi-univalent functions, C. R. Acad. Sci. Paris, Ser. I, 352 (6) (2014), pp. 479–484.
  4. S. Bulut, N. Magesh and V. K. Balaji, Faber polynomial coe¢ cient estimates for certain subclasses of meromorphic bi-univalent functions, Comptes Rendus Mathematique 353(2) (2015), 113-116.
  5. M. Ça¼glar, H. Orhan and N. Ya¼gmur, Coe¢ cient bounds for new subclasses of bi-univalent functions, Filomat 27(7) (2013), 1165-1171.
  6. E. Deniz, Certain subclasses of bi-univalent functions satisfying subordinate conditions, J. Class. Anal. 2(1) (2013), 49–60.
  7. P. L. Duren, Univalent functions,Grundlehren der Mathematischen Wissenschaften, 259, Springer, New York, 1983.
  8. B. A. Frasin, M.K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011), 1569-1573.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

Murat Çağlar This is me

Erhan Denız This is me

Publication Date

February 1, 2017

Submission Date

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Acceptance Date

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Published in Issue

Year 2017 Volume: 66 Number: 1

APA
Çağlar, M., & Denız, E. (2017). Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 85-91. https://doi.org/10.1501/Commua1_0000000777
AMA
1.Çağlar M, Denız E. Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):85-91. doi:10.1501/Commua1_0000000777
Chicago
Çağlar, Murat, and Erhan Denız. 2017. “Initial Coefficients for a Subclass of Bi-Univalent Functions Defined by Salagean Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 85-91. https://doi.org/10.1501/Commua1_0000000777.
EndNote
Çağlar M, Denız E (February 1, 2017) Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 85–91.
IEEE
[1]M. Çağlar and E. Denız, “Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 85–91, Feb. 2017, doi: 10.1501/Commua1_0000000777.
ISNAD
Çağlar, Murat - Denız, Erhan. “Initial Coefficients for a Subclass of Bi-Univalent Functions Defined by Salagean Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 85-91. https://doi.org/10.1501/Commua1_0000000777.
JAMA
1.Çağlar M, Denız E. Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:85–91.
MLA
Çağlar, Murat, and Erhan Denız. “Initial Coefficients for a Subclass of Bi-Univalent Functions Defined by Salagean Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 85-91, doi:10.1501/Commua1_0000000777.
Vancouver
1.Murat Çağlar, Erhan Denız. Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):85-91. doi:10.1501/Commua1_0000000777

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