Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions

In the present paper, we define and study a new family of holomorphic functions which involve the Bazilevič functions and the λ-pseudo-starlike functions. We establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(2) for the funct...

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Bibliographic Details
Published in:Axioms 2024-08, Vol.13 (8), p.521
Main Authors: Wanas, Abbas Kareem, Sehen, Salam Abdulhussein, Páll-Szabó, Ágnes Orsolya
Format: Article
Language:English
Subjects:
Analytic functions
Applied mathematics
Bazilevič functions
coefficient estimates
Functional equations
Functions
Matrices
Toeplitz matrices
univalent functions
λ-pseudo-starlike functions
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Summary:In the present paper, we define and study a new family of holomorphic functions which involve the Bazilevič functions and the λ-pseudo-starlike functions. We establish 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 family. Further, we investigate several special cases and consequences of our results.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13080521