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On a Theorem of Liouville's

✍ Scribed by Mathews, G. B.

Book ID
120105350
Publisher
Oxford University Press
Year
1893
Tongue
English
Weight
185 KB
Volume
s1-25
Category
Article
ISSN
0024-6115

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We prove in this paper that, given ␣ g 0, 1r2 , there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions Ε½< < ␣ . Ε½ j. Ε½ . and, in addition, lim exp z f z s0 on any plane strip for every f g M z Βͺ Ο± and for every derivation index j. Moreove