平面上零级随机Dirichlet级数的增长性

Growth of Random Dirichlet Series of Zero Order in Plane

研究了当随机变量列{Xn}满足一定条件时,平面上零级随机Dirichlet级数的增长性,得到了关于它们增长性的一些结果。结果表明,零级随机Dirichlet级数所确定的随机整函数在每条水平直线上的增长性几乎必然与相应的随机Dirichlet级数的增长性相同。

The growth of zero order random Dirichlet series in the plane was studied.When random variables series {Xn(ω)} satisfies the certain condition,some results about their growth are obtained from the study.These results show that the growth of entire function determined by the zero order random Dirichlet series is almost the same with corresponding growth of random Dirichlet series in any horizontal straight lines.