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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

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

Ahmad MOTAMEDNEZHAD
Shahpour NOSRATİ
Sima ZAKER
Pages
125–135
Publication Date
2019-02-01
DOI
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AI Summary & Key Takeaways

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

The coefficients bounds presented in this paper would generalize and improve those in related works of several earlier authors

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:The coefficients bounds presented in this paper would generalize and improve those in related works of several earlier authors
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic functions · bi-univalent functions · boefficient estimates

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

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Cite This Article

MOTAMEDNEZHAD, A., NOSRATİ, 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, Cilt: 68 - Sayı: 1, 125–135. https://ajindex.com/articles/747028

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References (18)

  1. Brannan, D. A., Clunie J. and Kirwan, W. E., Coefficient estimates for a class of starlike functions, Can. J. Math. 22 (1970) 476-485.
  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.
  9. Dziok, J., Srivastava, H. M., Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999) 1-13.
  10. El-Ashwah, R. M., Subclasses of bi-univalent functions defined by convolution, J. Egypt. Math. Soc. (2013)
  11. Frasin B. A. and Aouf, M. K., New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011) 1569-1573.
  12. MacGregor, T. H., Functions whose derivative has a positive real part, Trans. Am. Math. Soc. 104 (1962) 532-537. Ch.: Pommerenke, C., Univalent Functions, Vandenhoeck and Rupercht, Gottingen, 1975.
  13. Porwal S. and Darus, M., On a new subclass of bi-univalent functions, J. Egyptian Math. Soc. 21, (2013) 190-193.
  14. Srivastava, H. M., Mishra A. K. and Gochhayat, P., Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010) 1188-1192.
  15. Srivastava, H. M., Bulut, S., Çağlar M. and Yağmur, N., Coefficient estimates for a general subclass of analytic and bi-univalent functions, Filomat 27 (5), (2013) 831-842.
  16. H. M. Srivastava, S. Gaboury and F. Ghanim, Coefficient estimates for some general subclasses of analytic and bi-univalent functions, Afr. Mat. 28, (2017) 693-706.
  17. Srivastava, H. M., Gaboury S. and Ghanim, F., Initial coefficient estimates for some subclasses of m-fold symmetric bi-univalent functions, Acta Math. Sci. Ser. B Engl. Ed. 36, (2016) 863-871.
  18. Srivastava, H. M., Joshi, B. S., Joshi S. and Paw