Entire functions having asymptotic functions

Author:

Fenton P.C.

Abstract

It is shown that an entire function having k distinct entire asymptotic functions of order less than ¼ is of lower order ½k, mean type at least; further that if f is of lower order ½k, mean type, then its order is ½k.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. On Asymptotic Functions

2. Sur un théorème the Wiman;Denjoy;C.R. Acad. Sci.,1931

3. On the Denjoy-Carleman-Ahlfors Theorem

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