复多项式旋转定理的几个注释

IF 0.5 Q4 MATHEMATICS

Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya Pub Date : 2021-02-02 DOI:10.33048/semi.2021.18.026

V. Dubinin

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引用次数: 0

摘要

对于任意复数多项式P (z) = c0+c1z+…+cnz, cn 6= 0，其所有零点都在单位盘|z|≤1，我们考虑函数(argP (e))θ在实参数θ变化时的行为。我们给出了关于P (e)， argP (e)或系数ck, k = 0,1, n - 1, n的函数的一些尖锐估计。

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Some remarks on rotation theorems for complex polynomials

For any complex polynomial P (z) = c0+c1z+...+cnz , cn 6= 0, having all its zeros in the unit disk |z| ≤ 1, we consider the behavior of the function (argP (e))θ when the real argument θ changes. We give some sharp estimates of this function involving of the values of P (e), argP (e) or the coefficients ck, k = 0, 1, n − 1, n.

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来源期刊

Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya MATHEMATICS-

CiteScore

1.00

自引率

25.00%

发文量