Browsing by Author "Buyankara, M."

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Citation - Scopus: 1
The Fekete-Szegö Inequality for Prestarlike Functions Using Subordination
(Springer Int Publ Ag, 2025) Gurusamy, P.; Caglar, M.; Sivasubramanian, S.; Buyankara, M.
Pre-starlike functions hold a significant place in the theory of analytic functions, and various inequalities related to the coefficients of these functions play a critical role in understanding their geometric properties. In our work, Fekete-Szeg & ouml; type coefficient inequalities are obtained for the class of pre-starlike functions. These results generalize some previously known properties of pre-starlike functions and present new inequalities valid for a broader class of these functions. Additionally, for the some special values of parameters several corollaries are presented.
Citation - Scopus: 7
Hankel and Toeplitz Determinants for a Subclass of Analytic Functions
(VNTL Publishers, 2023) Buyankara, M.; Çağlar, M.
Let the function f (z) = A be locally univalent for z: = {z: |z| < 1} and 0 < α < 1. Then, f M(α) if and only if Due to their geometrical characteristics, this class has a significant impact on the theory o geometric functions. In the article we obtain sharp bounds for the second Hankel determinant [Formula Presented] and some Toeplitz determinants [Formula Presented] of a subclass of analytic functions M(a) in the open unit disk [Formula Presented]. © M. Buyankara, M. Çaglar, 2023. All Rights Reserved.
Hermitian-Toeplitz Determinants for a Subclass of Analytic Functions
(Transilvania University of Brasov 1, 2025) Buyankara, M.; Çağlar, M.
In this study, we obtain sharp bounds for the second Hermitian-Toeplitz determinants of a subclass of analytics functions in the open unit disk. © 2025, Transilvania University of Brasov 1. All rights reserved.