Behavior on the real line of entire functions represented by Dirichlet series |
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Authors: | B V Vinnitskii V M Sorokivskii |
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Institution: | (1) Drogobych Pedagogical Institute, L'vov University, USSR |
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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 , as k one has ¦f(xk)¦=Mt((1 + 0(1) xk), Mf(x)=sup {¦ f (z) ¦:Re z x}.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 2, pp. 265–269, February, 1991. |
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