%0 Journal Article
%T Some difference results on Hayman conjecture and uniqueness
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Liu, Kai
%A Cao, Tingbin
%A Liu, Xinling
%D 2012
%\ 12/15/2012
%V 38
%N 4
%P 1007-1020
%! Some difference results on Hayman conjecture and uniqueness
%K Entire functions
%K Difference
%K finite order
%K uniqueness
%K Value sharing
%R
%X In this paper, we show that for any finite order entire function $f(z)$, the function of the form $f(z)^{n}[f(z+c)-f(z)]^{s}$ has no nonzero finite Picard exceptional value for all nonnegative integers $n, s$ satisfying $ngeq 3$, which can be viewed as a different result on Hayman conjecture. We also obtain some uniqueness theorems for difference polynomials of entire functions sharing one common value.
%U http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdf