On random Taylor series |
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| Authors: | Ding Xiaoqing |
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| Institution: | (1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China |
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| Abstract: | This paper deals with random Taylor series whose coefficients consist of independent random variables {X
n
} with the property: αE
1/2{|X
n
|2}≤E{|X
n
|}<∞,E{X
n
}=0 (Ån) for some positive constant α. The convergence, growth, and value distribution of the series are investigated.
Supported by the National Natural Science Foundation of China (No. 101960433)
Ding Xiaoqing: born in Oct. 1958, Doctoral candidate |
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| Keywords: | random Taylor series independent random variables convergence growth value distribution |
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