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On difference quotients of Chebyshev polynomials

김선홍|Jung Hee Lee
대한수학회 (The Korean Mathematical Society)|2016.03|대한수학회보 (Bulletin of the KMS)|제53권 제2호|pp. 373-386

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참고문헌

키워드

Chebyshev polynomialsdifference quotients
주제분류수학

초록

In this paper, we investigate analytic and algebraic properties, and derive some identities satisfied by difference quotients of Chebyshev polynomials of the first kind.

Abstract

In this paper, we investigate analytic and algebraic properties, and derive some identities satisfied by difference quotients of Chebyshev polynomials of the first kind.

참고문헌 (9)

  1. S. Barnett, "A note on the Bezoutian matrix", SIAM J. Appl. Math, 22, pp.84~86 (1972)
  2. J. W. S. Cassels, "Factorization of polynomials in several variables", Proc. 15th Scandinavian Congress Oslo, pp.1~17 (1970)
  3. A. J. Engler, "On irreducible factors of the polynomial f(x) − g(x)", Internat. J. Math, 21(4), pp.407~418 (2010)
  4. I. M. Gelfand, "Discriminants, Resultants, and Multidimensional Determinants" (1994), Birkhauser
  5. P. Lancaster, "The Theory of Matrices with Applications" (1985), Academic Press
  6. J. C. Mason, "Chebyshev Polynomials", pp.2003, Chapman and Hall
  7. Factorization of Chebyshev Polynomials, "M. O. Rayes", Kent State University, ~, pp.Tech. Rep. ICM-199802-0001 (1998)
  8. T. J. Rivlin, "Pure and Applied Mathematics" (1990), John Wiley and Sons
  9. Z. H. Yang, "On the Bezoutian matrix for Chebyshev polynomials", Appl. Math. Comput, 219(3), pp.1183~1192 (2012)

관련 논문AI추천

Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomials김대산, D. V. Dolgy, S. H. Rim, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호A modified polynomial sequence of the Chebyshev polynomials of the second kind김선홍대한수학회 · 대한수학회논문집2019 · 제34권 제2호IDENTITIES FOR SPECIAL NUMBERS AND POLYNOMIALS INVOLVING FIBONACCI-TYPE POLYNOMIALS AND CHEBYSHEV POLYNOMIALSNeslihan Kilar, Yilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호A note on q-Bernstein and q-Laguerre polynomialsB. Lee, C. S. Ryoo, D. V. Dolgy, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제3호On the maximum and minimum modulus of polynomials on circles김선홍, 정한결대한수학회 · 대한수학회논문집2018 · 제33권 제4호Bernstein polynomials and Bernoulli numbers유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호

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