The growth irregularity of slowly growing entire functions

The growth irregularity of slowly growing entire functions

We show that entire transcendental functions f satisfying necessarily have growth irregularity, which increases as the growth diminishes. In particular, if 1 < p < 2, then the asymptotics , is impossible. It becomes possible if “o” is replaced by “O.”

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Veröffentlicht in:Functional analysis and its applications 2006-10, Vol.40 (4), p.304-312
Hauptverfasser: Ostrovskii, I. V., Üreyen, A. E.
Format: Artikel
Sprache:eng
Schlagworte:
Entire functions
Irregularities
Transcendental functions
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Zusammenfassung:We show that entire transcendental functions f satisfying necessarily have growth irregularity, which increases as the growth diminishes. In particular, if 1 < p < 2, then the asymptotics , is impossible. It becomes possible if “o” is replaced by “O.”
ISSN:0016-2663
1573-8485
DOI:10.1007/s10688-006-0047-7