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Nonvanishing derivatives and the MacLane class $\mathcal{A}$
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Fletcher, Alastair, Langley, Jim and Meyer, Janis. (2009) Nonvanishing derivatives and the MacLane class $\mathcal{A}$. Illinois Journal of Mathematics, Vol.53 (No.2). pp. 379-390. ISSN 0019-2082
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Official URL: http://projecteuclid.org/euclid.ijm/1266934783
Abstract
Let k ≥ 2 and let f be meromorphic in the unit disc Δ, such that f(z)f(k)(z) �= 0 for all z ∈ Δ and the poles of f in Δ have bounded multiplicities. Then f has asymptotic values on a dense subset of ∂Δ.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Illinois Journal of Mathematics |
| Publisher: | University Of Illinois At Urbana-Champaign * Department of Mathematics |
| ISSN: | 0019-2082 |
| Date: | 2009 |
| Volume: | Vol.53 |
| Number: | No.2 |
| Number of Pages: | 12 |
| Page Range: | pp. 379-390 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | EPSRC, DFG Grant |
| Grant number: | EP/D065321/1,ME 3198/1-1 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48366 |
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