Creating limit functions by the Pang-Zalcman lemma

Shai Gul; Shahar Nevo

doi:10.2996/kmj/1341401052

Creating limit functions by the Pang-Zalcman lemma

Shai Gul, Shahar Nevo

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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

Original language	English
Pages (from-to)	283-310
Number of pages	28
Journal	Kodai Mathematical Journal
Volume	35
Issue number	2
DOIs	https://doi.org/10.2996/kmj/1341401052
State	Published - 5 Jul 2012

Keywords

Normal family
Spherical metric
Zalcman's lemma

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2996/kmj/1341401052

Cite this

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

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AB - 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 {f(nz): n ∈ N} in C, where f = Re P. Here R and P are an arbitrary rational function and a polynomial, respectively, where P is a non-constant polynomial.

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KW - Spherical metric

KW - Zalcman's lemma

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DO - 10.2996/kmj/1341401052

M3 - مقالة

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EP - 310

JO - Kodai Mathematical Journal

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Creating limit functions by the Pang-Zalcman lemma

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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