Hankel Determinant of Second Kind for a New Subclass of Analytic Functions Involving Chebyshev Polynomials

In this paper, a new subclass S∗(μ, β, ℘,Un(t)) of univalent functions is defined by using Opoola differential operator involving subordination principle. The upper bounds to the second Hankel determinant denoted by H2(2) for the subclass S∗(μ, β, ℘,Un(t)) is established in connection with Chebyshev polynomials of the second kind and Toeplitz determinants.

Authors

Publication Details

Journal
Asian journal of mathematics and computer research
Published
2025-04-21
DOI
https://doi.org/10.56557/ajomcor/2025/v32i39268
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

Hankel Determinant of Second Kind for a New Subclass of Analytic Functions Involving Chebyshev Polynomials

FATUNSIN LOLADE MODUPE, OPOOLA TIMOTHY OLOYEDE
Asian journal of mathematics and computer research
Mathematical functions and polynomials
article

Hankel Determinant of Second Kind for a New Subclass of Analytic Functions Involving Chebyshev Polynomials

FATUNSIN LOLADE MODUPE, OPOOLA TIMOTHY OLOYEDE
article en

Abstract

In this paper, a new subclass S∗(μ, β, ℘,Un(t)) of univalent functions is defined by using Opoola differential operator involving subordination principle. The upper bounds to the second Hankel determinant denoted by H2(2) for the subclass S∗(μ, β, ℘,Un(t)) is established in connection with Chebyshev polynomials of the second kind and Toeplitz determinants.

Asian journal of mathematics and computer researchVol. 32(3)
Openalex Percentile: Top 88%
Mathematical functions and polynomials
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Hankel Determinant of Second Kind for a New Subclass of Analytic Functions Involving Chebyshev Polynomials — FATUNSIN LOLADE MODUPE, OPOOLA TIMOTHY OLOYEDE · Asian journal of mathematics and computer research (2025) | TGRS Research Map | TGRS