Displaying similar documents to “A criterion for convergence of solutions of homogeneous delay linear differential equations”

Julia lines of general random Dirichlet series

Qiyu Jin, Guantie Deng, Daochun Sun (2012)

Czechoslovak Mathematical Journal

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In this paper, we consider a random entire function f ( s , ω ) defined by a random Dirichlet series n = 1 X n ( ω ) e - λ n s where X n are independent and complex valued variables, 0 λ n + . 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...