An entire function with a Baker domain and sparsely distributed singular values

• Autores: Dominique S. Fleischmann
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 1, 2008, págs. 227-242
• Idioma: inglés
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• Resumen

  • We present an example of an entire function with a Baker domain such that the complement of the set of singular values of the function contains annuli of arbitrarily large width. This is the first known example of a function with this property.