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Generalizations of Polynomials in Chebyshev Form

  • Received : 2016.05.11
  • Accepted : 2016.06.25
  • Published : 2016.06.30

Abstract

Arbitrary polynomial of degree n can be written in Chebyshev form. In this paper, we generalize this Chebyshev form and study its root distributions.

Keywords

References

  1. J. C. Mason and D. C. Handscomb, "Chebyshev polynomials", Boca Raton: Chapman and Hall/CRC, 2003.
  2. T. J. Rivlin, "Chebyshev polynomials: From approximation theory to algebra and number theory", New York: John Wiley and Sons, 1990.