Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A CASE OF ALL PAIRS OF POLYNOMIAL ZEROS BAD

  • Kim, Seon-Hong (Department of Mathematics College of Natural Science Chosun University)
  • Published : 2003.10.01
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Abstract

In this paper, we show, for a positive integer m and a large odd integer n, the polynomial equation (equation omitted) has a real zero on $((n+1)^{1+\frac{1}{m}},{\;}(n+1)^{1+\frac{1}{m}}+{\frac{1}{2}})$ and $((n+1)^{1+\frac{1}{m}}+{\frac{1}{2}},{\;}(n+2)^{1+\frac{1}{m}})$ respectively.

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References

  1. Pacific J. Math. v.89 On the zeros of convex combinations of polynomials H.J.Fell https://doi.org/10.2140/pjm.1980.89.43
  2. Commun. Korean Math. Soc. v.15 no.4 Bad pairs of polynomial zeros S.H.Kim
  3. Acta Appl. Math. v.73 no.3 Factorization of Sums of Polynomicals S.H.Kim https://doi.org/10.1023/A:1019770930906