Models for the Speiser Class

  title={Models for the Speiser Class},
  author={Christopher J. Bishop},
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


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 18 references

Quasiconformal maps with dilatations of small support. preprint, 2016. MODELS FOR THE SPEISER CLASS

  • C. J. Bishop
  • 2016
1 Excerpt

Arc-like continua, Julia sets of entire functions and Eremenko’s conjecture

  • L. Rempe-Gillen
  • 2014
3 Excerpts

Lectures on quasiconformal mappings, volume 38 of University Lecture Series. American Mathematical Society, Providence, RI, second edition, 2006. With supplemental chapters by C

  • L. V. Ahlfors
  • 2006
3 Excerpts

Similar Papers

Loading similar papers…