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Certain Polynomials Related to Chebyshev Polynomials

  • Received : 2011.07.08
  • Accepted : 2011.08.31
  • Published : 2011.09.30

Abstract

Bae and Kim displayed a sequence of 4th degree self-reciprocal polynomials whose maximal zeros are related in a very nice and far from obvious way. The auxiliary polynomials in their results that parametrize their coefficients are of significant independent interest. In this note we show that such auxiliary polynomials are related to Chebyshev polynomials.

Keywords

References

  1. J. Bae and S. H. Kim, "Self-reciprocal polynomials with related maximal zeros", in revision.