Generalization of the Lindelöf Theorem to the Case of Boutroux Proximate Order

Generalization of the Lindelöf Theorem to the Case of Boutroux Proximate Order

We prove counterparts of the Lindelöf theorem in the spaces of entire functions and analytic functions in a half-plane the growth of which is determined by the proximate order in the sense of Boutroux.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022, Vol.262 (3), p.301-311
Hauptverfasser: Malyutin, K. G., Kabanko, M. V., Kostenko, I. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Entire functions
Mathematics
Mathematics and Statistics
Theorems
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Beschreibung
Zusammenfassung:We prove counterparts of the Lindelöf theorem in the spaces of entire functions and analytic functions in a half-plane the growth of which is determined by the proximate order in the sense of Boutroux.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05818-8