涉及差分算子的两个问题

Two Problems about Difference Operator

考虑整函数与其差分算子分担集合的唯一性问题。假设,f为非常数整函数,且满足λ(f)<ρ(f)<∞;a(z),b(z)是两个不同的非常数整函数,使得ρ(a)<ρ(f)和成立。若f与Δcf CM分担a(z),b(z),则Δcf(z)≡f(z).

In this paper, we investigate the uniqueness theorem of entire functions sharing sets with its difference operators. Suppose that f be a non-constant entire function satisfying λ（f）〈ρ（f）〈∞;a（z）,b（z） be different non-constant entire functions such that ρ（a）〈ρ（f）. Letf and Δcf share a（z）,b（z）,则Δcf（z）≡f（z）.