Models for the Speiser Class

@inproceedings{Bishop2017ModelsFT,
  title={Models for the Speiser Class},
  author={Christopher J. Bishop},
  year={2017}
}
The Eremenko-Lyubich class B consists of transcendental entire functions with bounded singular set and the Speiser class S ⊂ B is made up of functions with a finite singular set. In [4] 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, and that the stronger approximation of [4] can fail for the Speiser class. In particular, I… CONTINUE READING

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