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Mathematical Notes
Article . 1997 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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https://dx.doi.org/10.1007/bf0...
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A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1997 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes, volume 62, pages 198-215 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Korobeinik, Yu. F.;

doi: 10.1007/bf02355908

A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables

Abstract

The author considers the scale of growth of entire functions of several complex variables which was introcuded by Oskolkov for the case of the space \(\mathbb{C}^1\) and obtains the series results of the connection between the maximum modulus of an entire function and the behavior of its Taylor coefficients.

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Keywords

Taylor coefficients, Entire functions of several complex variables, growth of function, entire function, maximum modulus

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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