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