Symbolic Computation Group
David R. Cheriton School of Computer Science
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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.
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Last modified on Monday, 08 February 2016, at 22:14 hours.