Sharp estimates for the modulus of a canonical product

Sharp estimates for the modulus of a canonical product

A well-known bound for a Weierstrass primary factor is significantly improved. New estimates for the modulus of a canonical product are obtained on this basis, which are sharp in fairly broad classes of entire functions. Bibliography: 2 titles.

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Veröffentlicht in:Sbornik. Mathematics 2016-01, Vol.207 (2), p.238-266
1. Verfasser: Merzlyakov, S. G.
Format: Artikel
Sprache:eng
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canonical product
Entire functions
Estimates
Mathematical analysis
Weierstrass primary factor
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container_title Sbornik. Mathematics
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creator Merzlyakov, S. G.
description A well-known bound for a Weierstrass primary factor is significantly improved. New estimates for the modulus of a canonical product are obtained on this basis, which are sharp in fairly broad classes of entire functions. Bibliography: 2 titles.
doi_str_mv 10.1070/SM8365
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source IOP Publishing Journals; Alma/SFX Local Collection
subjects canonical product
Entire functions
Estimates
Mathematical analysis
Weierstrass primary factor
title Sharp estimates for the modulus of a canonical product
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