Convergence tests for one scalar differential equation with vanishing delay
Jaromír Baštinec, Josef Diblík, Zdeněk Šmarda (2000)
Archivum Mathematicum
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Convergence tests for one scalar differential equation with vanishing delay
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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 defined by a random Dirichlet series where are independent and complex valued variables, . We prove that under natural conditions, for some random entire functions of order zero 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...