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Construction of entire functions with a prescribed growth

✍ Scribed by A. B. Sekerin

Publisher
SP MAIK Nauka/Interperiodica
Year
1987
Tongue
English
Weight
842 KB
Volume
27
Category
Article
ISSN
0037-4466

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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 Ε½< < ␣ . Ε½ j. Ε½ . such that lim exp z f z s0 on any plane strip for every f g M M and for z Βͺ Ο± every derivation index j. Moreover,