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In this paper we introduce Levinson means of Cauchy's type. We show that these means are monotonic.
三分Sierpinski垫上的$\alpha(=1+\frac{\log2}{\log3})$维Hausdorff测度的Cauchy变换$F(z)$ 和二分的情形一样,表现出一些不平常的几何性质.本文考虑联系到$F(z)$的几个辅助函数,利用Laplace变换和 Dong X. H.和Lau K. S. (2003) 中的结果, 得到了它们的一些重要性质.这些性质对研究$F(z)$的几何性质和渐...
On Cauchy's Bound for Zeros of a Polynomial
Zeros polynomials upper bound moduli refinement
2010/2/26
In this note, we improve upon Cauchy's classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial.