Research Article

Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination

Volume: 68 Number: 1 February 1, 2019
EN

Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination

Abstract

In this paper, we investigate the bounds of the coefficients for new subclasses of analytic and bi-univalent functions in the open unit disc defined by subordination. The coefficients bounds presented in this paper would generalize and improve those in related works of several earlier authors

Keywords

References

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  2. Brannan, D. A. and Taha, T.S., On some classes of bi-univalent functions, KFAS Proceedings Series, vol. 3, Pergamon Press (Elsevier Science Limited), Oxford, 1988, 53-60.
  3. Catas, A., Oros, G. I., Oros, G., Differential subordinations associated with multiplier transformations, Abstr. Appl. Anal. (2008), ID 845724:1-11.
  4. Chen, M., On the regular functions satisfying ℜ(f(z)/z)>α, Bull. Inst. Math. Acad. Sinica 3 (1975) 65-70.
  5. Chichra, P. N., New subclasses of the class of close-to-convex functions, Proc. Am. Math. Soc. (62) (1977) 37-43.
  6. Çaglar, M., Deniz, E. and Srivastava, H. M., Second Hankel determinant for certain subclasses of bi-univalent functions, Turkish J. Math. 41, (2017) 694-706.
  7. Ding, S. S., Ling Y. and Bao, G. J., Some properties of a class of analytic functions, J. Math. Anal. Appl. 195 (1) (1995) 71-81.
  8. Duren, P. L., [newblock]\newblock{\em Univalent Functions}, Springer-Verlag, New York, Berlin, Heidelberg and Tokyo, 1983.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

October 5, 2017

Acceptance Date

July 13, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Motamednezhad, A., Nosrati, S., & Zaker, S. (2019). Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 125-135. https://doi.org/10.31801/cfsuasmas.443665
AMA
1.Motamednezhad A, Nosrati S, Zaker S. Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):125-135. doi:10.31801/cfsuasmas.443665
Chicago
Motamednezhad, Ahmad, Shahpour Nosrati, and Sima Zaker. 2019. “Bounds for Initial MacLaurin Coefficients of a Subclass of Bi-Univalent Functions Associated With Subordination”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 125-35. https://doi.org/10.31801/cfsuasmas.443665.
EndNote
Motamednezhad A, Nosrati S, Zaker S (February 1, 2019) Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 125–135.
IEEE
[1]A. Motamednezhad, S. Nosrati, and S. Zaker, “Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 125–135, Feb. 2019, doi: 10.31801/cfsuasmas.443665.
ISNAD
Motamednezhad, Ahmad - Nosrati, Shahpour - Zaker, Sima. “Bounds for Initial MacLaurin Coefficients of a Subclass of Bi-Univalent Functions Associated With Subordination”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 125-135. https://doi.org/10.31801/cfsuasmas.443665.
JAMA
1.Motamednezhad A, Nosrati S, Zaker S. Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:125–135.
MLA
Motamednezhad, Ahmad, et al. “Bounds for Initial MacLaurin Coefficients of a Subclass of Bi-Univalent Functions Associated With Subordination”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 125-3, doi:10.31801/cfsuasmas.443665.
Vancouver
1.Ahmad Motamednezhad, Shahpour Nosrati, Sima Zaker. Bounds for initial MacLaurin coefficients of a subclass of bi-univalent functions associated with subordination. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):125-3. doi:10.31801/cfsuasmas.443665

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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