Research Article

On the Coefficent Bound Estimates and Fekete-Szegö Problem

Volume: 12 Number: 2 June 27, 2023
EN

On the Coefficent Bound Estimates and Fekete-Szegö Problem

Abstract

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 the introduced class. Some interesting special cases of the results obtained here are also discussed.

Keywords

References

  1. [1] M. Buyankara, M. Çağlar, L.-I. Cotîrlă, “New subclasses of bi-univalent functions with respect to the symmetric points defined by bernoulli polynomials”, Axioms, vol.11, no.11, pp. 652-660, 2022.
  2. [2] D. A. Brannan and J. Clunie, “Aspects of Contemporary Complex Analysis”, Academic Press, London and New York, USA, 1980.
  3. [3] D. A. Brannan and T. S. Taha, “On Some Classes of Bi-univalent Functions”, Studia Univ. Babes-Bolyai Mathematics, vol. 31, pp.70-77, 1986.
  4. [4] Y. Cheng, R. Srivastava, J. L. Liu, “Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre Polynomials”, Axioms, vol. 11, no.11, pp. 595-607, 2022.
  5. [5] J. Dziok, “Classes of meromorphic harmonic functions defined by Sălăgean operator”, Revista de la Real Academia de Ciencias Exactas, Físicay Naturales. Serie A. Matemáticas, vol. 116, no.4, pp.1-16, 2022.
  6. [6] P. L. Duren, “Univalent Functions”, In: Grundlehren der Mathematischen Wissenschaften, Band 259, New- York, Berlin, Heidelberg and Tokyo, Springer-Verlag, 1983.
  7. [7] M. Fekete and G. Szegö, “Eine Bemerkung über ungerade schlichte funktionen”, Journal of the London Mathematical Society, vol.8, pp.85-89, 1993.
  8. [8] U. Grenander and G. Szegö, “Toeplitz form and their applications”, California Monographs in Mathematical Sciences, University California Press, Berkeley, 1958.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Early Pub Date

June 27, 2023

Publication Date

June 27, 2023

Submission Date

October 26, 2022

Acceptance Date

January 13, 2023

Published in Issue

Year 2023 Volume: 12 Number: 2

APA
Mustafa, N., & Korkmaz, S. (2023). On the Coefficent Bound Estimates and Fekete-Szegö Problem. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 12(2), 337-343. https://doi.org/10.17798/bitlisfen.1194877
AMA
1.Mustafa N, Korkmaz S. On the Coefficent Bound Estimates and Fekete-Szegö Problem. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023;12(2):337-343. doi:10.17798/bitlisfen.1194877
Chicago
Mustafa, Nizami, and Semra Korkmaz. 2023. “On the Coefficent Bound Estimates and Fekete-Szegö Problem”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12 (2): 337-43. https://doi.org/10.17798/bitlisfen.1194877.
EndNote
Mustafa N, Korkmaz S (June 1, 2023) On the Coefficent Bound Estimates and Fekete-Szegö Problem. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12 2 337–343.
IEEE
[1]N. Mustafa and S. Korkmaz, “On the Coefficent Bound Estimates and Fekete-Szegö Problem”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 2, pp. 337–343, June 2023, doi: 10.17798/bitlisfen.1194877.
ISNAD
Mustafa, Nizami - Korkmaz, Semra. “On the Coefficent Bound Estimates and Fekete-Szegö Problem”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12/2 (June 1, 2023): 337-343. https://doi.org/10.17798/bitlisfen.1194877.
JAMA
1.Mustafa N, Korkmaz S. On the Coefficent Bound Estimates and Fekete-Szegö Problem. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023;12:337–343.
MLA
Mustafa, Nizami, and Semra Korkmaz. “On the Coefficent Bound Estimates and Fekete-Szegö Problem”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 2, June 2023, pp. 337-43, doi:10.17798/bitlisfen.1194877.
Vancouver
1.Nizami Mustafa, Semra Korkmaz. On the Coefficent Bound Estimates and Fekete-Szegö Problem. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023 Jun. 1;12(2):337-43. doi:10.17798/bitlisfen.1194877

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