Elliptic Equations and Maps of Bounded Length Disortion.
Embedded minimal surfaces derived from Scherk's Examples.
Embedding theorems for Bergman spaces in quasiconformal balls.
Empilements de cercles et modules combinatoires
Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
Empilements de cercles et théorème de Liouville (d'après T. Dubejko)
Enclosing roots of polynomial equations and their applications to iterative processes.
Equality cases for condenser capacity inequalities under symmetrization
It is well known that certain transformations decrease the capacity of a condenser. We prove equality statements for the condenser capacity inequalities under symmetrization and polarization without connectivity restrictions on the condenser and without regularity assumptions on the boundary of the condenser.
Équations diophantiennes polynomiales à hautes multiplicités
On montre comment écrire de grandes familles, avec de hautes multiplicités, de cas d’égalité pour l’inégalité de Stothers-Mason (si sont des polynômes premiers entre eux, le nombre exact de racines du produit dépasse de le plus grand des degrés des composantes . On développera pour cela des techniques polynomiales itératives inspirées des décompositions de Dunford-Schwartz et de fonctions de Belyi. Des exemples d’application avec les conjectures ou de M. Hall sont développés.
Equicontinuous classes of ring -homeomorphisms.
Equivalence of the Apollonian and its inner metric.
Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden.
ERRATA: Coefficient inequalities for certain classes of Ruscheweyh type analytic functions.
ERRATA: Inequalities associating hypergeometric functions with planar harmonic mappings.
Erratum to “Tchebotaröv’s extremal problem”
The original version of the article was published in Central European Journal of Mathematics, 2005, 3(4), 591–605. Unfortunately, the original version of this article contains a mistake. We give some corrections to our work.
Error Analysis of Splitting Algorithms for Polynomials.
Essential singularities of quasimeromorphic mappings.
Estimates for asymptotically conformal mappings.
Estimates for integral means of hyperbolically convex functions.
Estimates for polynomials in the unit disk with varying constant terms
Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials.
Estimates for quasiconformal mappings onto canonical domains.