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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 6

Hermitian–Toeplitz determinants for functions with bounded turning

Virendra KUMAR
Nak Eun CHO
Pages
2678–2687
Publication Date
2022-11-01
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order α, are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:There is a rich literature on estimation of second and third Hankel determinants for normalised analytic functions in geometric function theory.
📊
Key Findings & Data:It is also, therefore, natural to explore the concept of the Hermitian–Toeplitz determinants for such functions.
💡
Conclusion & Impact:In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order α, are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

There is a rich literature on estimation of second and third Hankel determinants for normalised analytic functions in geometric function theory. It is also, therefore, natural to explore the concept of the Hermitian–Toeplitz determinants for such functions. In this paper, the sharp lower and upper estimations for third-order Hermitian-Toeplitz determinant for functions with bounded turning of order α, are obtained.

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Cite This Article

KUMAR, V., CHO, N. E. (2022). Hermitian–Toeplitz determinants for functions with bounded turning. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 6, 2678–2687. https://ajindex.com/articles/607448

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