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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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Open Access Research Article

A class of new Bazilevič functions and symmetric Toeplitz matrices

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pp. 1375–1381Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2595XML
Received:
01 Jan 2026
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2595
Pages:
1375–1381

Abstract

In this work, we describe and investigate a novel class of analytic functions, including the new functions and the Bazilevič functions. Bazilevič functions are a crucial part of analytic functions and have many applications in pure and applied mathematics. We focus on constructing Toeplitz matrices, studying their structural properties, and assessing their eigenvalues and trends for this class of functions. The goal of this work is to calculate coefficient estimates for the functions in this family for the Toeplitz matrix’s first four determinants, symmetric T2 (2), T2 (3), T3 (1), and T3 (2).

Keywords

Subject Classifications

30C4530C50

References

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