Symbolic Computation Group
David R. Cheriton School of Computer Science


Friday, February 12, 2016, at the University of Waterloo The Largest Roots of the Mandelbrot Polynomials Robert Corless, Western University Abstract: Using the Online Encyclopedia of Integer Sequences and Maple, I found an analytic formula for the values of the Mandelbrot polynomials near x = 2. The Mandelbrot polynomials are defined by p_0 = 0 and p_{n+1} = xp_n^2 + 1. This talk explains that discovery , and exhibits some areas where one could wish for new functionality in Maple (solving functional equations, for instance). This work was stimulated by a question from Neil Calkin, and a paper describing the work has been published with Piers W. Lawrence.

Last modified on Monday, 08 February 2016, at 22:14 hours.