Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Some difference results on Hayman conjecture and uniqueness10071020306ENKaiLiuNanchang university, Department of mathematicsTingbinCaoNanchang university, Department of mathematicsXinlingLiuNanchang university, Department of mathematicsJournal Article20110406In this paper, we show that for any finite order entire function <br />$f(z)$, the function of the form $f(z)^{n}[f(z+c)-f(z)]^{s}$ has no <br />nonzero finite Picard exceptional value for all nonnegative integers <br />$n, s$ satisfying $ngeq 3$, which can be viewed as a different <br />result on Hayman conjecture. We also obtain some <br />uniqueness theorems for difference polynomials of entire functions <br />sharing one common value.http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdf