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MODELS FOR THE SPEISER CLASS 1 (2014)
| Content Provider | CiteSeerX |
|---|---|
| Author | Bishop, Christopher J. |
| Abstract | Abstract. The Eremenko-Lyubich class B consists of transcendental entire func-tions with bounded singular set and the Speiser subclass S ⊂ B are the functions with finite singular sets. In [5] I gave a method for constructing Eremenko-Lyubich functions that approximate certain simpler functions called models. In this paper, I show that all models can be approximated in a weaker sense by Speiser class functions, but that the stronger approximation of [5] can fail for the Speiser class. |
| File Format | |
| Publisher Date | 2014-01-01 |
| Access Restriction | Open |
| Subject Keyword | Speiser Class Transcendental Entire Func-tions Speiser Subclass Eremenko-lyubich Class Bounded Singular Set Speiser Class Function Eremenko-lyubich Function Finite Singular Set Certain Simpler Function |
| Content Type | Text |
| Resource Type | Article |
