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The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros

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Publication:2848646
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DOI10.1070/SM2013V204N05ABEH004317zbMath1283.30061MaRDI QIDQ2848646

Anton Yu. Popov

Publication date: 26 September 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)


zbMATH Keywords

counting functionslowly varying functionproximate ordercanonical productentire function of finite ordermaximum modulus of an entire function


Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Special classes of entire functions of one complex variable and growth estimates (30D15)


Related Items (2)

Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros




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