On zeros of reciprocal polynomials of odd degree.
Optimale Schranken zu einem Satz über Nullstellen Hermitescher Trinome.
Ordres faibles et localisation de zéros de polynômes
Orthogonal polynomials on the semicircle
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 .
Quadratic Mean Radius of a Polynomial in C(Z)
* Dedicated to the memory of Prof. N. ObreshkoffA Schoenberg conjecture connecting quadratic mean radii of a polynomial and its derivative is verified for some kinds of polynomials, including fourth degree ones.
Quasisymmetric embedding of self similar surfaces and origami with rational maps.
Quotient et zéros communs de deux polynômes exponentiels.
Random polynomials and (pluri)potential theory
For certain ensembles of random polynomials we give the expected value of the zero distribution (in one variable) and the expected value of the distribution of common zeros of m polynomials (in m variables).
Ray sequences of Laurent-type rational functions.
Real and complex pseudozero sets for polynomials with applications
Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real pseudozero...