The growth irregularity of slowly growing entire functions

dc.citation.epage	312	en_US
dc.citation.issueNumber	4	en_US
dc.citation.spage	304	en_US
dc.citation.volumeNumber	40	en_US
dc.contributor.author	Ostrovskii, I. V.	en_US
dc.contributor.author	Üreyen, A. E.	en_US
dc.date.accessioned	2016-02-08T10:18:02Z
dc.date.available	2016-02-08T10:18:02Z
dc.date.issued	2006	en_US
dc.department	Department of Mathematics	en_US
dc.description.abstract	We show that entire transcendental functions f satisfying log M(r,f) = o(log 2r), r → ∞ (M(r,f): = maxf(z)\| necessarily have growth irregularity, which increases as the growth diminishes. In particular, if 1 < p < 2, then the asymptotics log M(r,f) = (log pr) +0 (log2-pr), r → ∞ is impossible. It becomes possible if "o" is replaced by "O.". © Springer Science+Business Media, Inc. 2006.	en_US
dc.identifier.doi	10.1007/s10688-006-0047-7	en_US
dc.identifier.eissn	1573-8485
dc.identifier.issn	0016-2663
dc.identifier.uri	http://hdl.handle.net/11693/23710
dc.language.iso	English	en_US
dc.publisher	Springer New York LLC	en_US
dc.relation.isversionof	http://dx.doi.org/10.1007/s10688-006-0047-7	en_US
dc.source.title	Functional Analysis and its Applications	en_US
dc.subject	Clunie - Kövari theorem	en_US
dc.subject	Erdös - Kövari theorem	en_US
dc.subject	Hayman convexity theorem	en_US
dc.subject	Levin ' s strong proximate order	en_US
dc.subject	Maximum term	en_US
dc.title	The growth irregularity of slowly growing entire functions	en_US
dc.type	Article	en_US

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