平面上随机级数的性质

万成高

系统科学与数学 ›› 2006, Vol. 26 ›› Issue (3) : 375-384.

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系统科学与数学 ›› 2006, Vol. 26 ›› Issue (3) : 375-384. DOI: 10.12341/jssms09209
论文

平面上随机级数的性质

    万成高
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The Properties Of Random Series In The Place

    Wan Chenggao
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摘要

研究了平面上系数{Xn,n0}\ii混合序列在满足\ccE|Xn|>0,\ppE|Xn|q<, (q>1) 等条件下的随机级数 的增长性及值分布,得到了比较好的结果.

Abstract

In this paper, we study the growth and the value distributions of random series in the place with coefficients {Xn,n0}, which are \ii mixing random sequences, satisfying \ccE|Xn|>0,\ppE|Xn|q<, (q>1) and other suitable conditions, and obtain some new results.

关键词

\ii混合序列 / 随机幂级数 / 随机Dirichlet

Key words

\ii mixing random sequences / random power series / random Dirichlet series

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万成高. 平面上随机级数的性质. 系统科学与数学, 2006, 26(3): 375-384. https://doi.org/10.12341/jssms09209
Wan Chenggao. The Properties Of Random Series In The Place. Journal of Systems Science and Mathematical Sciences, 2006, 26(3): 375-384 https://doi.org/10.12341/jssms09209
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