Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps

Antonio Garijo, Xavier Jarque, Monica Moreno Rocha

We consider the family of transcendental entire maps given by $f_a(z)=a(z-(1-a))\exp (z+a)$ where $a$ is a complex parameter. Every map has a superattracting fixed point at $z=-a$ a…