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.
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Supported by the National Natural Science Foundation of China (No. 101960433)
Ding Xiaoqing: born in Oct. 1958, Doctoral candidate
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Xiaoqing, D. On random Taylor series. Wuhan Univ. J. Nat. Sci. 3, 257–260 (1998). https://doi.org/10.1007/BF02829969
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DOI: https://doi.org/10.1007/BF02829969