Interpolation and the Laguerre-Pólya class.
Interpolation of entire functions on regular sparse sets and -Taylor series
We give a pure complex variable proof of a theorem by Ismail and Stanton and apply this result in the field of integer-valued entire functions. Our proof rests on a very general interpolation result for entire functions.
Intersection of essential cluster sets
Intersection of sectorial cluster sets and directional essential cluster sets
Invariant curves and semiconjugacies of rational functions
Jordan analytic curves which are invariant under rational functions are studied.
Irrationality results for theta functions by Gel'fond-Schneider's method
Iterated order of solutions of certain linear differential equations with entire coefficients.
Iterated order of solutions of linear differential equations with entire coefficients.
Itération de polynômes et fonctions entières arithmétiques
Itération des polynômes et propriétés d'orthogonalité
Iteration, level sets, and zeros of derivatives of meromorphic functions.
Iteration theory, compactly divergent sequences and commuting holomorphic maps
Iterations and logarithms of formal automorphisms.
Iterations and logarithms of formal automorphisms. (Short Communication).
Iterative characterizations of powers and exponentials.
Iterative square roots of Cebysev polynomials.
Julia lines of general random Dirichlet series
In this paper, we consider a random entire function defined by a random Dirichlet series where are independent and complex valued variables, . We prove that under natural conditions, for some random entire functions of order zero almost surely every horizontal line is a Julia line without an exceptional value. The result improve a theorem of J. R. Yu: Julia lines of random Dirichlet series. Bull. Sci. Math. 128 (2004), 341–353, by relaxing condition on the distribution of for such function...
Julia Points and Strong Analytic Normality
Julia sets of rational semigroups.
La plus petite majorante surharmonique et son rapport avec l'existence des fonctions entières de type exponentiel jouant le rôle de multiplicateurs
Étant donné une fonction paire et continue, on se demande si une fonction entière de type exponentiel existe telle que soit borné pour . L’existence d’une telle est équivalente à celle d’une fonction croissante sur telle que , que pour , et que , , pourvu que satisfasse à une condition de régularité assez peu restrictive, décrite au début de l’article. On démontre que l’existence d’une telle est à son tour équivalente à ce que la fonction admette une majorante surharmonique...