Shunsuke MOROSAWA and Masahiko TANIGUCHI

Non-trivial deformation of an entire function $abz+\exp^{bz}+c$


In this note, we consider dynamics of the family of transcendental entire function $f(z;a,b,c)=abz+\exp^{bz}+c$. In particular, studying the case where they have a Baker domains, we investigate the area of Julia sets and the Hausdorff convergence of Julia sets.

submission: May 25, 2000

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