Midgets of superior Mandelbrot set

Considering the complex-valued polynomial Q(c)(Z) = Z(n) + C, n >= 2, we discuss midgets and related properties of superior Mandelbrot sets. A comparison of the usual and superior Mandelbrot sets for Q(c)(z) on the basis of midgets suggests that the two types of Mandelbrot sets are effectively different in many cases. (c) 2006 Elsevier Ltd. All rights reserved.