Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

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 Tuesday, 09 February 2016, at 03:14 hours.