Resultants of Chebyshev Polynomials
Mourad E. H. Ismail
University of Central Florida, Orlando, United StatesJemal Gishe
Western Kentucky University, Bowling Green, United States

Abstract
Recently, K.~Dillcher and K.~B.~Stolarsky [{\it Trans. Amer. Math. Soc.} ~357 (2004), 965 -- 981] used algebraic methods to evaluate the resultant of two linear combinations of Chebyshev polynomials of the second kind. In this paper we give an alternative method of computing the same resultant and resultants of more general combinations of Chebyshev polynomials of the second kind. We also consider resultants of linear combinations of Chebyshev polynomials of the first kind.
Cite this article
Mourad E. H. Ismail, Jemal Gishe, Resultants of Chebyshev Polynomials. Z. Anal. Anwend. 27 (2008), no. 4, pp. 499–508
DOI 10.4171/ZAA/1368