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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 2

On strongly Ozaki bi-close-to-convex functions

Münevver TEZELCİ
Sevtap SÜMER EKER
Pages
862–870
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

The results presented in this paper have been shown to generalize and improve the work of Brannan andTaha.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce and investigate a new subclass of strongly Ozaki bi-close-to-convex functions inthe open unit disk.
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Key Findings & Data:We have also found estimates for the first two Taylor–Maclaurin coefficients for functions belongingto this class.
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Conclusion & Impact:The results presented in this paper have been shown to generalize and improve the work of Brannan andTaha.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce and investigate a new subclass of strongly Ozaki bi-close-to-convex functions inthe open unit disk. We have also found estimates for the first two Taylor–Maclaurin coefficients for functions belongingto this class. The results presented in this paper have been shown to generalize and improve the work of Brannan andTaha.

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Cite This Article

TEZELCİ, M., EKER, S. S. (2022). On strongly Ozaki bi-close-to-convex functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 2, 862–870. https://ajindex.com/articles/607951

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References (18)

  1. Ali RM, Lee SK, Ravichandran V, Supramaniam S. Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. Applied Mathematics Letters 2012; 25: 344-351
  2. Allu V, Thomas DK, Tuneski N. On Ozaki close-to-convex functions. Bulletin of the Australian Mathematical Society 2019; 99: 89-100. doi: 10.1017/S0004972718000989 [3] Brannan DA, Kirwan WE. On some classes of bounded univalent functions. Journal of the London Mathematical Society 1969; 2: 431–443
  3. Brannan DA, Taha TS. On some classes of bi-univalent functions. In: Mazhar SM, Hamoui A, Faour NS (editors). KFAS Proceedings Series, Vol
  4. Oxford, UK: Pergamon Press, 1988, pp. 53-60
  5. Duren PL. Univalent Functions. Grundlehren der Mathematischen Wissenschaften. New York, NY, USA: Springer- Verlag, 1983
  6. Goodman AW. Univalent Functions. New York, NY, USA: Mariner Publishing Company, 1983
  7. Kaplan W. Close-to-convex schlicht functions. Michigan Math J 1952; 1 (2): 169-185
  8. Kargar R, Ebadian A. Ozaki’s conditions for general integral operator. Sahand Communications in Mathematical Analysis 2017; 5 (1): 61-67
  9. Lewin M. On a coefficient problem for bi-univalent functions. P Am Math Soc 1967; 18: 63-68
  10. Ozaki S. On the theory of multivalent functions. Science Reports of the Tokyo Bunrika Daigaku Section A 1935; 2 (40): 167-188
  11. Ozaki S. On the theory of multivalent functions II. Science Reports of the Tokyo Bunrika Daigaku Section A 1941; 4 (77/78): 45-87
  12. Pommerenke C. Univalent Functions. Göttingen, Germany: Vandenhoeck Ruprecht, 1975
  13. Ponnusamy S, Sahoo SK, Yanagihara H. Radius of convexity of partial sums of functions in the close-to-convex family. Nonlinear Analysis 2014; 95: 219–228
  14. Rudin W. Real and Complex Analysis. 3rd ed. New York, NY, USA: McGraw-Hill Education, 1998
  15. Srivastava HM. Some inequalities and other results associated with certain subclasses of univalent and bi-univalent analytic functions. In: Pardalos PM, Georgiev PG, Srivastava HM (editors). Nonlinear Analysis: Stability, Approximation, and Inequalities. Springer Series on Optimization and Its Applications, Vol
  16. Berlin, Germany: Springer-Verlag, 2012, pp. 607-630
  17. Srivastava HM, Mishra AK, Gochhayat P. Certain subclasses of analytic and bi-univalent functions. Appl Math Lett 2010; 23: 1188-1192
  18. Srivastava HM, Sümer Eker S, Ali RM. Coefficient bounds for a certain class of analytic and bi-univalent functions. Filomat 2015; 29: 1839-1845