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A note on the moments of sequences of complex numbers
Indagationes Mathematicae ( IF 0.5 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.indag.2020.06.001
Maher Boudabra , Greg Markowsky

We give a short proof that the limsup of the p-th root of the modulus of the p-th moment of a sequence of complex numbers is equal to the modulus of the maximum of the sequence.This strengthens known results, and provides an analog to a recent result concerning moments of complex polynomials.

中文翻译:

关于复数序列矩的注记

我们给出了一个简短的证明,即复数序列的第 p 矩的模的第 p 根的 limsup 等于该序列的最大值的模。这加强了已知结果,并提供了一个模拟到最近关于复多项式矩的结果。
更新日期:2020-07-01
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