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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, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Illinois Journal of Mathematics | ||||
| Publisher: | University Of Illinois At Urbana-Champaign * Department of Mathematics | ||||
| ISSN: | 0019-2082 | ||||
| Official Date: | 2009 | ||||
| Dates: |
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| 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 |
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