Araştırma Makalesi

The Fekete-Szegö Problem for a Certain class of Analytic Functions

Cilt: 15 Sayı: 2 31 Mart 2023
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The Fekete-Szegö Problem for a Certain class of Analytic Functions

Öz

In this study, we introduce and examine a certain subclass of analytic functions in 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.

Anahtar Kelimeler

Kaynakça

  1. Buyankara M., Çağlar M., Cotîrlă L.-I. (2022.) New subclasses of bi-univalent functions with respect to the symmetric points defined by Bernoulli polynomials. Axioms. 11(11), 652-660.
  2. Brannan D.A. and Clunie J. (1980). Aspects of contemporary complex analysis. Academic Press, London and New York, USA.
  3. Brannan D.A. and Taha T.S. (1986). On some classes of bi-univalent functions. Studia Univ. Babes-Bolyai Mathematics, 31, 70-77.
  4. Cheng Y., Srivastava R., Liu J. L. (2022). Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre Polynomials. Axioms. 11(11), 595-607.
  5. Duren P.L. (1983). Univalent Functions. In: Grundlehren der Mathematischen Wissenschaften, Band 259, New- York, Berlin, Heidelberg and Tokyo, Springer- Verlag.
  6. Grenander U. and Szegö G. (1958). Toeplitz Form and Their Applications. California Monographs in Mathematical Sciences, University California Press, Berkeley.
  7. Fekete M. and Szegö G. (1983). Eine Bemerkung Über Ungerade Schlichte Funktionen. Journal of the London Mathematical Society, 8, 85-89.
  8. Lewin M. (1967). On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society, 18, 63-68.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2023

Gönderilme Tarihi

13 Ocak 2023

Kabul Tarihi

9 Mart 2023

Yayımlandığı Sayı

Yıl 2022 Cilt: 15 Sayı: 2

Kaynak Göster

APA
Mustafa, N., & Korkmaz, S. (2023). The Fekete-Szegö Problem for a Certain class of Analytic Functions. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15(2), 72-76. https://doi.org/10.58688/kujs.1233710
AMA
1.Mustafa N, Korkmaz S. The Fekete-Szegö Problem for a Certain class of Analytic Functions. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2023;15(2):72-76. doi:10.58688/kujs.1233710
Chicago
Mustafa, Nizami, ve Semra Korkmaz. 2023. “The Fekete-Szegö Problem for a Certain class of Analytic Functions”. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15 (2): 72-76. https://doi.org/10.58688/kujs.1233710.
EndNote
Mustafa N, Korkmaz S (01 Mart 2023) The Fekete-Szegö Problem for a Certain class of Analytic Functions. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15 2 72–76.
IEEE
[1]N. Mustafa ve S. Korkmaz, “The Fekete-Szegö Problem for a Certain class of Analytic Functions”, Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 15, sy 2, ss. 72–76, Mar. 2023, doi: 10.58688/kujs.1233710.
ISNAD
Mustafa, Nizami - Korkmaz, Semra. “The Fekete-Szegö Problem for a Certain class of Analytic Functions”. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15/2 (01 Mart 2023): 72-76. https://doi.org/10.58688/kujs.1233710.
JAMA
1.Mustafa N, Korkmaz S. The Fekete-Szegö Problem for a Certain class of Analytic Functions. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2023;15:72–76.
MLA
Mustafa, Nizami, ve Semra Korkmaz. “The Fekete-Szegö Problem for a Certain class of Analytic Functions”. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 15, sy 2, Mart 2023, ss. 72-76, doi:10.58688/kujs.1233710.
Vancouver
1.Nizami Mustafa, Semra Korkmaz. The Fekete-Szegö Problem for a Certain class of Analytic Functions. Kafkas Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 01 Mart 2023;15(2):72-6. doi:10.58688/kujs.1233710