If f is an entire function and satisfies a certain differential equation, then it is shown that f is of bounded index. This extends a theorem of 5. M. Shah.
Vector-valued entire functions satisfying a differential equation
โ Scribed by Ranjan Roy; S.M. Shah
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 392 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
which are entire functions, for growth problems_ All such functions, when they satisfy a class of differential equations, are of bounded index and exponential type, and their components are also of bounded index_
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