Supported by National Natural Science Foundation of China(Grant No.10871094);NSFU of Jiangsu,China(Grant No.08KJB110001);Qinglan Project of Jiangsu,China,and SRF for ROCS,SEM
Let k, K ∈1N and F be a family of zero-free meromorphic functions in a domain D such that for each f ∈ F, f(k) - 1 has at most K zeros, ignoring multiplicity. Then F is quasinormal of order at most v=k/k+1,where ...
supported by National Natural Science Foundation of China (Grant Nos. 10671093, 10871094);the Natural Science Foundation of Universities of Jiangsu Province of China (Grant No. 08KJB110001);the Qing Lan Project of Jiangsu, China and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
Let $ \mathcal{F} $ be a family of meromorphic functions in a plane domain D, and a and b be finite non-zero complex values such that $ a/b \notin \mathbb{N}\backslash \{ 1\} $ . If for $ f \in \mathcal{F}, f(z) = a \...