✦ LIBER ✦

Growth of entire functions

✍ Scribed by I. I. Marchenko; A. I. Shcherba

Publisher: SP MAIK Nauka/Interperiodica
Year: 1985
Tongue: English
Weight: 410 KB
Volume: 25
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00968899

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We prove in this note that, given ␣ g 0, 1r2 , there exists a linear manifold M M of entire functions satisfying that M M is dense in the space of all entire functions Ž< < ␣ . Ž j. Ž . such that lim exp z f z s0 on any plane strip for every f g M M and for z ª ϱ every derivation index j. Moreover,