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Entire functions of extreme rates of growth

✍ Scribed by Benjamin Lepson


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
248 KB
Volume
36
Category
Article
ISSN
0022-247X

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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,

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