A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On Periodicity of Entire Functions

1974
*
Proceedings of the American Mathematical Society
*

A sequence S={sn} is said to be a periodic set of period r (-¿0) if and only if S*={í"+t} can be rearranged to be a sequence to coincide with 5. Let F be the class of all entire functions /satisfying the growth condition: lim sup log log log M(r,f )/\og r < 1. r-»-oo In this paper it is shown that if/e Fand the zero sets of /and /' both are periodic sets with the same period t, then/can be expressed asf(z)=ec'g(z), where c is a constant and^(z) is a periodic entire function with period t. A

doi:10.2307/2038895
fatcat:2f7763jq2zautnbilstnm43kyy