논문KCI 등재
On Zeros of Polynomials with Restricted Coefficients
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Let P(z) = Σn j=0 ajzj be a polynomial of degree n and Re aj = αj , Im aj = βj . In this paper, we have obtained a zero- free region for polynomials in terms of αj and βj and also obtain the bound for number of zeros that can lie in a prescribed region.
Abstract
Let P(z) = Σn j=0 ajzj be a polynomial of degree n and Re aj = αj , Im aj = βj . In this paper, we have obtained a zero- free region for polynomials in terms of αj and βj and also obtain the bound for number of zeros that can lie in a prescribed region.
참고문헌 (5)
- G. Enestrom, "Remarquee sur un Theorem relative aux racinnes de I’equation anzn + an1zn1 + : : : a1 + a0 ou to us les coefficients sonts reels et possitifs", Tohoku Math. J, 18, pp.34~36 (1920)
- M. Marden, "The Geometry of polynomials", Amer. Math. Monthly, 83(10), pp.788~797 (1997)
- Q. G. Mohammad, "On the zeros of the polynomials", Amer. Math. Monthly, 72(6), pp.631~633 (1965)
- S. Kakeya, "On the limits of the roots of an algebraic equation with positive coefficients", Tohoku Math. J., 2(13), pp.140~142 (1912)
- E. C. Titchmarsh, "The theory of functions, 2nded" (1939), Oxford Univ. Press
관련 논문AI추천
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