Research Article

Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions

Volume: 8 Number: 2 December 15, 2022
EN

Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions

Abstract

In this study, we introduce and examine a certain subclass of analytic functions on the open unit disk in the complex plane. Here, we give coefficient bound estimates and investigate 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. & CLUNIE, J. (1980). Aspects of contemporary complex analysis. Academic Press, London and New York, USA.
  2. BRANNAN, D.A. & 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. & SZEGÖ, G. (1958). Toeplitz Form and Their Applications. California Monographs in Mathematical Sciences, University California Press, Berkeley
  5. FEKETE, M. & SZEGÖ, G. (1993). Eine Bemerkung Über Ungerade Schlichte Funktionen. Journal of the London Mathematical Society, 8, 85-89.
  6. LEWIN, M. (1967). On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society, 18, 63-68.
  7. 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.
  8. MUSTAFA, N. & GÜNDÜZ, M.C. (2019). The Fekete-Szegö Problem for Certain Class of Analytic and Univalent Functions. Journal of Scientific and Engineering Reserch, 6(5), 232-239.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 15, 2022

Submission Date

June 28, 2022

Acceptance Date

October 24, 2022

Published in Issue

Year 2022 Volume: 8 Number: 2

APA
Mustafa, N., & Korkmaz, S. (2022). Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions. Eastern Anatolian Journal of Science, 8(2), 1-5. https://izlik.org/JA87DH32LD
AMA
1.Mustafa N, Korkmaz S. Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions. Eastern Anatolian Journal of Science. 2022;8(2):1-5. https://izlik.org/JA87DH32LD
Chicago
Mustafa, Nizami, and Semra Korkmaz. 2022. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions”. Eastern Anatolian Journal of Science 8 (2): 1-5. https://izlik.org/JA87DH32LD.
EndNote
Mustafa N, Korkmaz S (December 1, 2022) Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions. Eastern Anatolian Journal of Science 8 2 1–5.
IEEE
[1]N. Mustafa and S. Korkmaz, “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions”, Eastern Anatolian Journal of Science, vol. 8, no. 2, pp. 1–5, Dec. 2022, [Online]. Available: https://izlik.org/JA87DH32LD
ISNAD
Mustafa, Nizami - Korkmaz, Semra. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions”. Eastern Anatolian Journal of Science 8/2 (December 1, 2022): 1-5. https://izlik.org/JA87DH32LD.
JAMA
1.Mustafa N, Korkmaz S. Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions. Eastern Anatolian Journal of Science. 2022;8:1–5.
MLA
Mustafa, Nizami, and Semra Korkmaz. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions”. Eastern Anatolian Journal of Science, vol. 8, no. 2, Dec. 2022, pp. 1-5, https://izlik.org/JA87DH32LD.
Vancouver
1.Nizami Mustafa, Semra Korkmaz. Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Class Analytic Functions. Eastern Anatolian Journal of Science [Internet]. 2022 Dec. 1;8(2):1-5. Available from: https://izlik.org/JA87DH32LD