Resultants of Chebyshev Polynomials
Jemal Gishe
Western Kentucky University, Bowling Green, United StatesMourad E. H. Ismail
University of Central Florida, Orlando, United States
![Resultants of Chebyshev Polynomials cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-27-issue-4.png&w=3840&q=90)
Abstract
Recently, K. Dillcher and K. B. Stolarsky [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
Jemal Gishe, Mourad E. H. Ismail, Resultants of Chebyshev Polynomials. Z. Anal. Anwend. 27 (2008), no. 4, pp. 499–508
DOI 10.4171/ZAA/1368