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Behavior on the real line of entire functions represented by Dirichlet series
Authors:B V Vinnitskii  V M Sorokivskii
Institution:(1) Drogobych Pedagogical Institute, L'vov University, USSR
Abstract:Conditions are found under which for an entire function f represented by a Dirichlet series with finite Ritt order on some sequence (xk), 0 < xk uarr infin, as k rarr infin one has ¦f(xk)¦=Mt((1 + 0(1) xk), Mf(x)=sup {¦ f (z) ¦:Re z Lt x}.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 2, pp. 265–269, February, 1991.
Keywords:
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