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Search: All articles in the CMB digital archive with keyword Chebyshev polynomial

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1. CMB 2012 (vol 56 pp. 602)

Louboutin, Stéphane R.
 Resultants of Chebyshev Polynomials: A Short Proof We give a simple proof of the value of the resultant of two Chebyshev polynomials (of the first or the second kind), values lately obtained by D. P. Jacobs, M. O. Rayes and V. Trevisan. Keywords:resultant, Chebyshev polynomials, cyclotomic polynomialsCategories:11R09, 11R04

2. CMB 2011 (vol 54 pp. 288)

Jacobs, David P.; Rayes, Mohamed O.; Trevisan, Vilmar
 The Resultant of Chebyshev Polynomials Let \$T_{n}\$ denote the \$n\$-th Chebyshev polynomial of the first kind, and let \$U_{n}\$ denote the \$n\$-th Chebyshev polynomial of the second kind. We give an explicit formula for the resultant \$\operatorname{res}( T_{m}, T_{n} )\$. Similarly, we give a formula for \$\operatorname{res}( U_{m}, U_{n} )\$. Keywords:resultant, Chebyshev polynomialCategories:11Y11, 68W20