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 |
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Pages (from-to) | 283-310 |
Number of pages | 28 |
Journal | Kodai Mathematical Journal |
Volume | 35 |
Issue number | 2 |
DOIs | |
State | Published - 5 Jul 2012 |
Keywords
- Normal family
- Spherical metric
- Zalcman's lemma