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https://doi.org/10.1112/s00246...
Article . 2001 . Peer-reviewed
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A Bohr Phenomenon For Elliptic Equations

A Bohr phenomenon for elliptic equations
Authors: Aizenberg, Lev A.; Tarkhanov, Nikolai Nikolaevich;

A Bohr Phenomenon For Elliptic Equations

Abstract

This article is devoted to the generalization of the well-known theorem of Bohr about the existence of a number \(r\in(0,1)\) such that if a power series \(\sum^\infty_{\nu=0}c_\nu z^\nu\) converges in the unit disk and the modulus of its sum is less than 1, then \(\sum^\infty_{\nu=0}|c_\nu z^\nu|<1\) for \(|z|

Country
Germany
Related Organizations
Keywords

ddc:510, Second-order elliptic equations, harmonic function, separately harmonic functions, Institut für Mathematik, elliptic equations, Applications of functional analysis to differential and integral equations, power series, pluriharmonic functions, Power series, series of functions of several complex variables

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    30
    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.
    Top 10%
    influence
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    Top 10%
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citations
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).
BIP!Citations provided by BIP!
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.
BIP!Impulse provided by BIP!
30
Top 10%
Top 10%
Average
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