Safe convergence of Chebyshev-like method.
Safe convergence of Tanabe's method.
Smale's Conjecture on Mean Values of Polynomials and Electrostatics
2000 Mathematics Subject Classification: Primary 30C10, 30C15, 31B35.A challenging conjecture of Stephen Smale on geometry of polynomials is under discussion. We consider an interpretation which turns out to be an interesting problem on equilibrium of an electrostatic field that obeys the law of the logarithmic potential. This interplay allows us to study the quantities that appear in Smale’s conjecture for polynomials whose zeros belong to certain specific regions. A conjecture concerning the electrostatic equilibrium...
Solved and unsolved problems οn polynomials
Some remarks on the -stability for families of polynomials
Some theorems on generalized polars with arbitrary weight.
Some topological and geometric properties of pseudozero set.
Square-root families for the simultaneous approximation of polynomial multiple zeros.
Sur la répartition des zéros d'une classe de polynômes.
Sur l'équation du troisième degré
Sur les Limites des Zeros du Polunpme 1+z/1!+ Z2/2!+ ... + Zn/n!
Sur les limites des zéros du polynôme .
Sur les nombres premiers
Sur les Zeros de la Derivee Logarithmique de la Fonction F: F(z)= E^(p(z))*Q(z) Quand P(z) in C[z] et Q(z) in C[z]
Sur quelques points de la théorie des fonctions
Sur une evaluation des valeurs approximatives des zeros complexes des polynomes