Entire Functions of Small Order of Growth
β Scribed by Katsuya Ishizaki, Niro Yanagihara
- Book ID
- 120888203
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 141 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1617-9447
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove in this note that, given β£ 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< < β£ . 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,
In this paper, we prove that given Β΅ > 0 there exists a dense linear manifold M of entire functions, such that, lim zββ zβl exp z Β΅ f z = 0 for every f β M and l straight line and with infinite growth index for all non-null functions of M. Moreover, every non-null function of M has exactly 2 2Β΅ + 1