Araştırma Makalesi

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

Cilt: 7 Sayı: 3 30 Aralık 2022
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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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

5 Temmuz 2022

Kabul Tarihi

30 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 3

Kaynak Göster

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, ve 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 (01 Aralık 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 ve S. Korkmaz, “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions”, TJOS, c. 7, sy 3, ss. 211–218, Ara. 2022, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 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, ve Semra Korkmaz. “Coefficient Bound Estimates and Fekete-Szegö Problem for a Certain Subclass of Analytic and Bi-univalent Functions”. Turkish Journal of Science, c. 7, sy 3, Aralık 2022, ss. 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]. 01 Aralık 2022;7(3):211-8. Erişim adresi: https://izlik.org/JA39WX37GX