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.
Liu, K., Cao, T. & Liu, X. (2012). Some difference results on Hayman conjecture and uniqueness. Bulletin of the Iranian Mathematical Society, 38(4), 1007-1020.
MLA
Liu, K., Cao, T., & Liu, X. "Some difference results on Hayman conjecture and uniqueness", Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 1007-1020.
HARVARD
Liu K., Cao T., Liu X. (2012). 'Some difference results on Hayman conjecture and uniqueness', Bulletin of the Iranian Mathematical Society, 38(4), pp. 1007-1020.
CHICAGO
K. Liu, T. Cao & X. Liu, "Some difference results on Hayman conjecture and uniqueness," Bulletin of the Iranian Mathematical Society, 38 4 (2012): 1007-1020,
VANCOUVER
Liu K., Cao T., Liu X. Some difference results on Hayman conjecture and uniqueness. BIMS. 2012;38(4):1007-1020.
