Toeplitz determinants for a certain class of analytic and univalent functions

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.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-03-01
Primary Topic
Analytic and geometric function theory
Type
article
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article

Toeplitz determinants for a certain class of analytic and univalent functions

SHILAP Revista de lepidopterología
Analytic and geometric function theory
article

Toeplitz determinants for a certain class of analytic and univalent functions

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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.

SHILAP Revista de lepidopterología
University of Oradea (RO), Al al-Bayt University (JO), University of Al-Qadisiyah (IQ)
Openalex Percentile: Top 40%
Analytic and geometric function theory
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Toeplitz determinants for a certain class of analytic and univalent functions · SHILAP Revista de lepidopterología (2025) | TGRS Research Map | TGRS