Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 2

Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers

Pages
553–560
Publication Date
2020-03-01
DOI
—
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AI Summary & Key Takeaways

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

Moreover, we survey the bounds of the coefficients for functions in this class.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this investigation, by using a relation of subordination, we define a new subclass of analytic bi-univalent functions associated with the Fibonacci numbers.
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Key Findings & Data:In this investigation, by using a relation of subordination, we define a new subclass of analytic bi-univalent functions associated with the Fibonacci numbers.
💡
Conclusion & Impact:Moreover, we survey the bounds of the coefficients for functions in this class.
🔬Design:Survey & Empirical Study
📍Scope:Comprehensive Sample
⚙️Variables:Bi-univalent functions · Fibonacci numbers · subordination.

Abstract

In this investigation, by using a relation of subordination, we define a new subclass of analytic bi-univalent functions associated with the Fibonacci numbers. Moreover, we survey the bounds of the coefficients for functions in this class.

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Cite This Article

ALTINKAYA, Ş. (2020). Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 2, 553–560. https://ajindex.com/articles/185544

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References (15)

  1. Altınkaya Ş, Yalçın S. Estimate for initial MacLaurin of general subclasses of bi-univalent functions of complex order involving subordination. Honam Mathematical Journal 2018; 40: 391-400
  2. Altınkaya Ş, Yalçın S. Faber polynomial coefficient estimates for bi-univalent functions of complex order based on subordinate conditions involving of the Jackson (p, q)-derivative operator. Miskolc Mathematical Notes 2017; 18 (2): 555-572
  3. Altınkaya Ş, Yalçın S, Çakmak S. A Subclass of bi-univalent functions based on the Faber polynomial expansions and the Fibonacci Numbers. Mathematics 2019; 7(2): 1-9
  4. Brannan DA, Taha TS. On some classes of bi-univalent functions. Studia Universitatis Babeş-Bolyai Mathematica 1986; 31: 70-77
  5. Dziok J, Raina RK, Sokół J. On α-convex functions related to shell-like functions connected with Fibonacci numbers. Applied Mathematics and Computation 2011; 2018: 996-1002
  6. Duren PL. Univalent Functions. Grundlehren der Mathematischen Wissenschaften, Springer, New York, USA, 259, 1983
  7. Grenander U, Szegö G. Toeplitz forms and their applications. California Monographs in Mathematical Sciences University, California Press, Berkeley, 1958
  8. Hamidi SG, Jahangiri JM. Faber polynomial coefficients of bi-subordinate functions. Comptes Rendus des Séances de l’Académie des Sciences Série I Mathématique 2016; 354: 365-370
  9. Hayami T, Owa S. Coefficient bounds for bi-univalent functions. Panamerican Mathematical Journal 2012; 22: 15-26
  10. Güney HÖ, Murugusundaramoorthy G, Sokol J. Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers. Acta Universitatis Sapientiae Mathematica 2018; 10: 70-84
  11. Lewin M. On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society 1967; 18: 63-68
  12. Netanyahu E. The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in |z| [13] Pommerenke C. Univalent Functions. Vandenhoeck & Ruprecht, Göttingen, 1975
  13. Srivastava HM, Sümer Eker S, Hamidi SG, Jahangiri JM. Faber polynomial coefficient estimates for Bi-univalent functions defined by the Tremblay fractional derivative operator. Bulletin of the Iranian Mathematical Society 2018; 44: 149-157
  14. Srivastava HM, Mishra AK, Gochhayat P. Certain subclasses of analytic and bi-univalent functions. Applied Mathematics Letters 2010; 23: 1188-1192
  15. Srivastava HM, Sakar FM, Güney HÖ. Some genera