Creating Limit Functions By The Pang-Zalcman Lemma

Details Creating Limit Functions By The Pang-Zalcman Lemma Creating Limit Functions By The Pang-Zalcman Lemma

2010-10-22

arxiv.org/abs/1010.4664v1

Mathematics

Complex Variables

Scientific paper

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 $\left\{f(nz):n\in\mathbb{N}\right\}$ in $\mathbb{C}$, where $f=Re^P$.
Here $R$ and $P$ are an arbitrary rational function and a polynomial,
respectively, where $P$ is a non-constant polnomial.

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