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Resultants of Chebyshev Polynomials: The First, Second, Third, and Fourth Kinds

  Published:2015-03-02
 Printed: Jun 2015
  • Masakazu Yamagishi,
    Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, Aichi 466-8555, Japan
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Abstract

We give an explicit formula for the resultant of Chebyshev polynomials of the first, second, third, and fourth kinds. We also compute the resultant of modified cyclotomic polynomials.
Keywords: resultant, Chebyshev polynomial, cyclotomic polynomial resultant, Chebyshev polynomial, cyclotomic polynomial
MSC Classifications: 11R09, 11R18, 12E10, 33C45 show english descriptions Polynomials (irreducibility, etc.)
Cyclotomic extensions
Special polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions]
11R09 - Polynomials (irreducibility, etc.)
11R18 - Cyclotomic extensions
12E10 - Special polynomials
33C45 - Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions]
 

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