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Mat. Fiz. Anal. Geom., 1996, Volume 3, Number 1/2, Pages 146–163 (Mi jmag490)  

On asymptotics of entire functions of finite logarithmic order

M. M. Sheremeta, R. I. Tarasyuk, N. V. Zabolotskii

Lvov University, 1 Universitetska St., 290602, Lvov, Ukraine

Abstract: The asymptotic behaviour of an entire function is studied whose zero counting function $n(t)$ satisfies the condition $n(t)=\Delta\ln^pt+\Delta_1\ln^qt+o(\ln^qt)$, $t\to+\infty$, where $0<q<p<\infty$, $0<\Delta<\infty$, $-\infty<\Delta_1<\infty$.

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Received: 21.02.1994
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Citation: M. M. Sheremeta, R. I. Tarasyuk, N. V. Zabolotskii, “On asymptotics of entire functions of finite logarithmic order”, Mat. Fiz. Anal. Geom., 3:1/2 (1996), 146–163

Citation in format AMSBIB
\Bibitem{SheTarZab96}
\by M.~M.~Sheremeta, R.~I.~Tarasyuk, N.~V.~Zabolotskii
\paper On asymptotics of entire functions of finite logarithmic order
\jour Mat. Fiz. Anal. Geom.
\yr 1996
\vol 3
\issue 1/2
\pages 146--163
\mathnet{http://mi.mathnet.ru/jmag490}
\zmath{https://zbmath.org/?q=an:0871.30027}


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