A model for boundary dynamics of Baker domains
A model for boundary dynamics of Baker domains
Abstract We consider the transcendental entire function $$ f(z)=z+e^{-z} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mi>z</mml:mi> <mml:mo>+</mml:mo> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mi>z</mml:mi> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> , which has a doubly parabolic Baker domain U of degree two, i.e. an invariant stable component for which …