Research Article

Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions

Volume: 50 Number: 6 December 14, 2021
EN

Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions

Abstract

For a certain subclass of Bazilevic functions, Faber polynomials expansions are used to obtain bi-univalent properties. Estimates on the $n$th Taylor-Maclaurin coefficients of functions in this class are found. Moreover, some special cases are also indicated.

Keywords

References

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  3. [3] S. Altınkaya, Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers, Turkish J. Math. 44 (2), 553–560, 2020.
  4. [4] S. Altınkaya and S. Yalcın, Faber polynomial coefficient bounds for a subclass of bi- univalent functions, C. R. Math. 353 (12), 1075–108, 2015.
  5. [5] A. Bouali, Faber polynomials, Cayley-Hamilton equation and Newton symmetric func- tions, Bull. Sci. Math. 130, 49–70, 2006.
  6. [6] M. Caglar, H. Orhan and N. Yagmur, Coefficient bounds for new subclasses of bi- univalent functions, Filomat, 27 (7), 1165–1171, 2013.
  7. [7] E. Deniz, Certain subclasses of bi-univalent functions satisfying subordinate condi- tions, J. Class. Anal. 2, 49–60, 2013.
  8. [8] E. Deniz, J.M. Jahangiri, S.G. Hamidi and S.K. Kina, Faber polynomial coefficients for generalized bi-subordinate functions of complex order, J. Math. Inequal. 12 (3), 645–653, 2018.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 14, 2021

Submission Date

March 15, 2021

Acceptance Date

June 28, 2021

Published in Issue

Year 2021 Volume: 50 Number: 6

APA
Lashin, A. M., Badghaish, A., & Bajamal, A. (2021). Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions. Hacettepe Journal of Mathematics and Statistics, 50(6), 1667-1678. https://doi.org/10.15672/hujms.896977
AMA
1.Lashin AM, Badghaish A, Bajamal A. Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions. Hacettepe Journal of Mathematics and Statistics. 2021;50(6):1667-1678. doi:10.15672/hujms.896977
Chicago
Lashin, Abdel Moneim, Abeer Badghaish, and Amani Bajamal. 2021. “Faber Polynomials Coefficients Estimates for a Certain Subclass of Bazilevic Functions”. Hacettepe Journal of Mathematics and Statistics 50 (6): 1667-78. https://doi.org/10.15672/hujms.896977.
EndNote
Lashin AM, Badghaish A, Bajamal A (December 14, 2021) Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions. Hacettepe Journal of Mathematics and Statistics 50 6 1667–1678.
IEEE
[1]A. M. Lashin, A. Badghaish, and A. Bajamal, “Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 6, pp. 1667–1678, Dec. 2021, doi: 10.15672/hujms.896977.
ISNAD
Lashin, Abdel Moneim - Badghaish, Abeer - Bajamal, Amani. “Faber Polynomials Coefficients Estimates for a Certain Subclass of Bazilevic Functions”. Hacettepe Journal of Mathematics and Statistics 50/6 (December 14, 2021): 1667-1678. https://doi.org/10.15672/hujms.896977.
JAMA
1.Lashin AM, Badghaish A, Bajamal A. Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions. Hacettepe Journal of Mathematics and Statistics. 2021;50:1667–1678.
MLA
Lashin, Abdel Moneim, et al. “Faber Polynomials Coefficients Estimates for a Certain Subclass of Bazilevic Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 6, Dec. 2021, pp. 1667-78, doi:10.15672/hujms.896977.
Vancouver
1.Abdel Moneim Lashin, Abeer Badghaish, Amani Bajamal. Faber polynomials coefficients estimates for a certain subclass of Bazilevic functions. Hacettepe Journal of Mathematics and Statistics. 2021 Dec. 14;50(6):1667-78. doi:10.15672/hujms.896977