Pairs of paths and critical points.
Point estimation and the convergence of the Ehrlich-Aberth method.
Polynômes quadratiques et attracteur de Hénon
Polynomial Growth along Jordan Arcs.
Polynomials, sign patterns and Descartes' rule of signs
By Descartes’ rule of signs, a real degree polynomial with all nonvanishing coefficients with sign changes and sign preservations in the sequence of its coefficients () has positive and negative roots, where and . For , for every possible choice of the sequence of signs of coefficients of (called sign pattern) and for every pair satisfying these conditions there exists a polynomial with exactly positive and exactly negative roots (all of them simple). For this is not...
Power series and zeroes of trinomial equations.
Power series and zeroes of trinomial equations. (Summary).
Power series with integer coefficients in several variables.
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Properties of differences of meromorphic functions
Let be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference and the divided difference .