Accessible Mandelbrot Sets in the Family $$ z^n + \lambda /z^n$$

In this paper we prove the existence of infinitely many accessible Mandelbrot sets in the parameter plane for the family of maps \(z^n + \lambda / z^n\) when \(n > 1\). These are Mandelbrot sets for which the cusp of the main cardioid touches the outer boundary of the connectedness locus. We show that there is a unique such Mandelbrot set at the landing point of each external ray that is periodic under \(\theta \mapsto n \theta \).