数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
3期
653-659
,共7页
Complex difference%Borel exceptional value%sharing value
In this article, for a transcendental entire function f (z) of finite order which has a finite Borel exceptional value α, we utilize properties of complex difference equations to prove the difference counterpart of Br¨uck’s conjecture, that is, if ?f (z) = f (z+η)-f (z) and f (z) share one value a ( 6=α) CM, whereη∈C is a constant such that f (z+η) 6≡f (z), then?f (z)-af (z)-a = a a-α.
