Creating Limit Functions By The Pang-Zalcman Lemma

Shai Gul; Shahar Nevo

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arXiv · 1010.4664

Creating Limit Functions By The Pang-Zalcman Lemma

Shai Gul·Shahar Nevo

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Abstract

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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Shai Gul, Shahar Nevo. 2010-10-22. Creating Limit Functions By The Pang-Zalcman Lemma. https://arxiv.org/abs/1010.4664

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