Symmetric Toeplitz Matrices for a New Family of Prestarlike Functions

By making use of prestarlike functions, we introduce in this paper a certain family of normalized holomorphic functions defined in the open unit disk, and we establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(2) and T3(1) for the funct...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-07, Vol.14 (7), p.1413
Main Authors: Cotîrlă, Luminiţa-Ioana, Wanas, Abbas Kareem
Format: Article
Language:English
Subjects:
Analytic functions
coefficient estimates
Mathematical analysis
Matrices (mathematics)
prestarlike functions
Toeplitz matrices
univalent functions
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Summary:By making use of prestarlike functions, we introduce in this paper a certain family of normalized holomorphic functions defined in the open unit disk, and we establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(2) and T3(1) for the functions belonging to this family. We also mention some known and new results that follow as special cases of our results.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14071413