5 citations · 13 across the 18 of their papers we have counts for
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Differential inequality of the second derivative that leads to normality
Qiaoyu Chen, Shahar Nevo, XueCheng Pang
Let F be a family of functions meromorphic in a domain D. If {|f|/(1+|f|^3):f in F} is locally uniformly bounded away from zero, then F is normal.
On Riemann's Theorem About Conditionally Convergent Series
Jurgen Grahl, Shahar Nevo
We extend Riemann's rearrangement theorem on conditionally convergent series of real numbers to multiple instead of simple sums.
A criterion of normality based on a single holomorphic function II
Xiaojun Liu, Shahar Nevo
In this paper, we continue to discuss normality based on a single\linebreak holomorphic function. We obtain the following result. Let $\CF$ be a family of functions holomorphic on…
Derivatives of Meromorphic functions with multiple zeros and elliptic functions
Pai Yang, Shahar Nevo, Xuecheng Pang
Let f be a nonconstant meromorphic function in the plane and h be a nonconstant elliptic function. We show that if all zeros of f are multiple exept finitely many and T(r,h)=o{T(r,…
Differential Inequalities, Normality and Quasi-Normality
Xiaojun Liu, Shahar Nevo, Xuecheng Pang
We prove that if D is a domain in C, alpha>1 and c>0, then the family F of functions meromorphic in D such that |f'(z)|/(1+|f(z)|^alpha)>c for every z in D is normalin D. For alpha…
A Non explicit counterexample to a problem of quasi-normality
Shahar Nevo, Xuecheng Pang
In 1986, S.Y. Li and H.Xie proved the following theorem:Let k>=2 and let F be a family of functions meromorphic in some domain D, all of whose zeros are of multiplicity at least k.…