Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution

Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution

In this work, we derive coefficient bounds for the symmetric Toeplitz matrices T2(2), T2(3), T3(1), and T3(2), which are the known first four determinants for a new family of analytic functions with Borel distribution series in the open unit disk U. Further, some special cases of results obtained ar...

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Veröffentlicht in:Symmetry (Basel) 2023-01, Vol.15 (2), p.262
Hauptverfasser: Wanas, Abbas Kareem, Sakar, Fethiye Müge, Oros, Georgia Irina, Cotîrlă, Luminiţa-Ioana
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Borel distribution
coefficient estimates
Inequality
Mathematical analysis
Matrices (mathematics)
Toeplitz matrices
univalent functions
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Zusammenfassung:In this work, we derive coefficient bounds for the symmetric Toeplitz matrices T2(2), T2(3), T3(1), and T3(2), which are the known first four determinants for a new family of analytic functions with Borel distribution series in the open unit disk U. Further, some special cases of results obtained are also pointed.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15020262