Orthogonal Polynomials Linear Combination of the Chebyshev Polynomials of First and Second Kind

Abstract

In this paper we derive useful results regarding the analysis of di¤eren- tial properties and resultants. Moreover, we study a three-term recursive relation of associated Chebyshev polynomial-type families which are or- thogonal polynomials linear combination of the Chebyshev polynomials of rst and second kind,orthogonal with respect to some appropriate weight function.