JournalszaaVol. 27, No. 4pp. 499–508

Resultants of Chebyshev Polynomials

  • Jemal Gishe

    Western Kentucky University, Bowling Green, United States

  • Mourad E. H. Ismail

    University of Central Florida, Orlando, United States
Resultants of Chebyshev Polynomials cover
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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