Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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Roots of Difference Quotient Forms of Chebyshev Polynomials

  • Received : 2014.04.15
  • Accepted : 2014.06.25
  • Published : 2014.06.30
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Abstract

Let $T_n(x)$ be the Chebyshev polynomials of first kind of degree n. In this paper, we show that for a > 1, the polynomial with integer coefficients $\frac{T_n(z)-T_n(a)}{z-a}$ has all its roots in $|z|{\leq}a$.

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References

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