Creating limit functions by the Pang-Zalcman lemma

Shai Gul, Shahar Nevo

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish
Pages (from-to)283-310
Number of pages28
JournalKodai Mathematical Journal
Volume35
Issue number2
DOIs
StatePublished - 5 Jul 2012

Keywords

  • Normal family
  • Spherical metric
  • Zalcman's lemma

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