Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 20 (2025), 13 -- 23

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This work is licensed under a Creative Commons Attribution 4.0 International License.

TOEPLITZ DETERMINANTS FOR A CERTAIN CLASS OF ANALYTIC AND UNIVALENT FUNCTIONS

Abbas Kareem Wanas, Basem Aref Frasin and Adriana Cătaș

Abstract. In this manuscript, we define and study a certain class of analytic and univalent functions defined in the open unit disk U. We derive the coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(2) for the functions in this class. Furthermore, certain special cases for our results are also pointed.

2020 Mathematics Subject Classification: 30C45, 30C20.
Keywords: Toeplitz matrices, coefficient estimates, Analytic functions, Univalent functions.

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Abbas Kareem Wanas
Department of Mathematics, College of Science
University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq.
e-mail: abbas.kareem.w@qu.edu.iq

Basem Aref Frasin - corresponding author
Department of Mathematics, Faculty of Science,
Al al-Bayt University, Mafraq, Jordan
e-mail: bafrasin@yahoo.com

Adriana Cătaș
Department of Mathematics and Computer Science
University of Oradea, 1 University Street, 410087 Oradea, Romania.
e-mail: acatas@gmail.com

https://www.utgjiu.ro/math/sma