Research Article

Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions

Volume: 7 Number: 3 December 30, 2022
EN

Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions

Abstract

In this study, we introduce and examine a certain subclass of analytic and bi-univalent functions in the open unit disk in the complex plane. Here, we give coefficient bound estimates and examine the Fekete-Szegö problem for this class. Some interesting special cases of the results obtained here are also discussed.

Keywords

References

  1. Brannan, D.A. and Clunie, J. (1980). Aspects of contemporary complex analysis. Academic Press, London and New York, USA.
  2. Brannan, D.A. and Taha, T.S. (1986). On some classes of bi-univalent functions. Studia Univ. Babes-Bolyai Mathematics, 31, 70-77.
  3. Duren, P.L. (1983). Univalent Functions. In: Grundlehren der Mathematischen Wissenschaften, Band 259, New- York, Berlin, Heidelberg and Tokyo, Springer- Verlag.
  4. Grenander, U. and Szegö, G. (1958). Toeplitz Form and Their Applications. California Monographs in Mathematical Sciences, University California Press, Berkeley.
  5. Fekete, M. and Szegö, G. (1993). Eine Bemerkung Über Ungerade Schlichte Funktionen. Journal of the London Mathematical Society, 8, 85-89.
  6. Jackson, F.H. (1910). On -Definite Integrals. The Quarterly Journal of Pure and Apllied Mathematics, 41, 193-203.
  7. Lewin, M. (1967). On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society, 18, 63-68.
  8. Mustafa, N. (2017). Fekete- Szegö Problem for Certain Subclass of Analytic and Bi- Univalent Functions. Journal of Scientific and Engineering Reserch, 4(8), 30-400.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

July 5, 2022

Acceptance Date

December 30, 2022

Published in Issue

Year 2022 Volume: 7 Number: 3

APA
Mustafa, N., & Korkmaz, S. (2022). Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions. Turkish Journal of Science, 7(3), 211-218. https://izlik.org/JA39WX37GX
AMA
1.Mustafa N, Korkmaz S. Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions. TJOS. 2022;7(3):211-218. https://izlik.org/JA39WX37GX
Chicago
Mustafa, Nizami, and Semra Korkmaz. 2022. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-Univalent Functions”. Turkish Journal of Science 7 (3): 211-18. https://izlik.org/JA39WX37GX.
EndNote
Mustafa N, Korkmaz S (December 1, 2022) Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions. Turkish Journal of Science 7 3 211–218.
IEEE
[1]N. Mustafa and S. Korkmaz, “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions”, TJOS, vol. 7, no. 3, pp. 211–218, Dec. 2022, [Online]. Available: https://izlik.org/JA39WX37GX
ISNAD
Mustafa, Nizami - Korkmaz, Semra. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-Univalent Functions”. Turkish Journal of Science 7/3 (December 1, 2022): 211-218. https://izlik.org/JA39WX37GX.
JAMA
1.Mustafa N, Korkmaz S. Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions. TJOS. 2022;7:211–218.
MLA
Mustafa, Nizami, and Semra Korkmaz. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-Univalent Functions”. Turkish Journal of Science, vol. 7, no. 3, Dec. 2022, pp. 211-8, https://izlik.org/JA39WX37GX.
Vancouver
1.Nizami Mustafa, Semra Korkmaz. Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions. TJOS [Internet]. 2022 Dec. 1;7(3):211-8. Available from: https://izlik.org/JA39WX37GX