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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Bibliographische Detailangaben
Veröffentlicht in:Sbornik. Mathematics 2016-01, Vol.207 (2), p.238-266
1. Verfasser: Merzlyakov, S. G.
Format: Artikel
Sprache:eng
Schlagworte:
canonical product
Entire functions
Estimates
Mathematical analysis
Weierstrass primary factor
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Beschreibung
Zusammenfassung: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.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM8365