Julia Lines of General Random Dirichlet Series
نویسندگان
چکیده
In this paper, we consider a random entire function f(s, ω) defined by a random Dirichlet series ∑∞ n=1Xn(ω)e −λns whereXn are independent and complex valued variables, 0 6 λn ր +∞. We prove that under natural conditions, for some random entire functions of order (R) zero f(s, ω) almost surely every horizontal line is a Julia line without an exceptional value. The result improve a theorem of J. R.Yu: Julia lines of random Dirichlet series. Bull. Sci. Math. 128 (2004), 341–353, by relaxing condition on the distribution of Xn for such function f(s, ω) of order (R) zero, almost surely.
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تاریخ انتشار 2016