The Boundedness Locus and baby Mandelbrot sets for some generalized McMullen maps

Suzanne Boyd, Alexander J. Mitchell

In this paper we study rational functions of the form $R_{n,a,c}(z)=z^n+\frac{a}{z^n}+c,$ with $n$ fixed and at least $3$, and hold either $a$ or $c$ fixed while the other…