2 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
-Normal Families and entire functions
Shai Gul, Shahar Nevo
For every countable ordinal number we construct an entire function such that the family is exactly -normal in the unit disk.
Creating Limit Functions By The Pang-Zalcman Lemma
Shai Gul, Shahar Nevo
In this paper we calculate the collection of limit functions obtained by applying an extension of Zalcman's Lemma, due to X. C. Pang, to the non-normal family $\left\{f(nz):n\in\ma…
An Extension of a Normality Result by Carathéodory
Jürgen Grahl, Shahar Nevo
We extend the fundamental normality test due to Carathéodory in the sense of shared functions.
A note on spherical derivatives and normal families
Jürgen Grahl, Shahar Nevo
We show that a family of meromorphic functions in the unit disk $\dk$ whose spherical derivatives are uniformly bounded away from zero is normal. Furthermore, we show that for each…