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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

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 $0<q<p<\infty$, $0<\Delta<\infty$, $-\infty<\Delta_1<\infty$.

Received: 21.02.1994

Language: English



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