Asian Journal of Mathematics and Computer Research

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

FATUNSIN LOLADE MODUPE *

Department of Mathematics Programme, National Mathematical Centre, Abuja. Nigeria.

OPOOLA TIMOTHY OLOYEDE

Department of Mathematics, Faculty of Physical Sciences, University of Ilorin. Nigeria.

*Author to whom correspondence should be addressed.

---

Abstract

In this paper, a new subclass S^∗(μ, β, ℘,U_n(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, ℘,U_n(t)) is established in connection with Chebyshev polynomials of the second kind and Toeplitz determinants.

Keywords: Analytic functions, hankel determinant, chebyshev polynomials

---

---