Authors: Michael Welter
Publish Date: 2000/09/01
Volume: 103, Issue: 1, Pages: 63-74
Abstract
In this paper we study functions which together with all their derivatives take values in a number field on a sequence u n in satisfying certain conditions As one corollary we get a result on the growth rate of entire transcendental functions whose derivatives assume integral values on the geometric progression u n n= 01… In a second theorem we prove that the lower bound for the growth rate stated in the corollary is best possible
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