Affiliation:
1. College of Science, China University of Petroleum, Qingdao, Shandong, P.R. China
Abstract
In this paper, due to the Borel lemma and Clunie lemma, we will deduce the
relationship between an entire function f of hyper-order less than 1 and its
n-th difference operator ?nc f (z) if they share a finite set and f has a
Borel exceptional value 0, where the set consists of two entire functions of
smaller orders. Moreover, the exact form of f is given and an example is
provided to show the sharpness of the condition.
Publisher
National Library of Serbia