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Ukrainian Mathematical Journal
Article . 2002 . Peer-reviewed
License: Springer Nature TDM
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Generalized Lindelöf Finiteness Conditions for the λ-Type of a Subharmonic Function

Generalized Lindelöf finiteness conditions for the \(\lambda\)-type of a subharmonic function
descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2002 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 54, pages 340-344 (issn: 0041-5995, eissn: 1573-9376, Copyright policy )
Authors: Vasyl'kiv, Ya. V.; Kondratyuk, A. A.;

doi: 10.1023/a:1020150916036

Generalized Lindelöf Finiteness Conditions for the λ-Type of a Subharmonic Function

Abstract

Summary: We establish a criterion of \(\lambda\)-type finiteness of a subharmonic function. If \(\lambda(r)=r^pL(r)\), \(p\in\mathbb N,\) where \(L(r)\) is a slowly varying function, this criterion coincides with the Lindelöf criterion.

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Keywords

slowly varying function, Quasi-analytic and other classes of functions of one complex variable, Lindelöf criterion \(\lambda\)-type finiteness, subharmonic function, Harmonic, subharmonic, superharmonic functions in higher dimensions

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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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