Fixed points and boundary behaviour of the Koenigs function.
Fixed Points of Analytic Self-Mappings of Riemann Surfaces.
Fixed points of composite entire and quasiregular maps.
Fixed points of meromorphic functions and of their differences and shifts
Let f(z) be a finite order transcendental meromorphic function such that λ(1/f(z)) < σ(f(z)), and let c ∈ ℂ∖0 be a constant such that f(z+c) ≢ f(z) + c. We mainly prove that , where τ(g(z)) denotes the exponent of convergence of fixed points of the meromorphic function g(z), and σ(g(z)) denotes the order of growth of g(z).
Fixed points of meromorphic solutions of higher order linear differential equations.
Fixed points of polynomial maps. I. Rotation subsets of the circles
Fixed points of polynomial maps. Part II. Fixed point portraits
Fixed points of the derivative and -th power of solutions of complex linear differential equations in the unit disc.
Flows of Mellin transforms with periodic integrator
We study Mellin transforms for which is periodic with period in order to investigate ‘flows’ of such functions to Riemann’s and the possibility of proving the Riemann Hypothesis with such an approach. We show that, excepting the trivial case where , the supremum of the real parts of the zeros of any such function is at least .We investigate a particular flow of such functions which converges locally uniformly to as , and show that they exhibit features similar to . For example, ...
Foliations on the complex projective plane with many parabolic leaves
We prove that a foliation on with hyperbolic singularities and with “many" parabolic leaves (i.e. leaves without Green functions) is in fact a linear foliation. This is done in two steps: first we prove that there exists an algebraic leaf, using the technique of harmonic measures, then we show that the holonomy of this leaf is linearizable, from which the result follows easily.
Fonction de Tschakaloff et fonction q-exponentielle
Fonctions algébriques de Grunsky-Shah
Fonctions algébriques et variations analytiques des fonctions univalentes [Book]
Fonctions analytiques dans certains corps values au sens de Krull
Fonctions analytiques sur certains corps valués au sens de Krull.
Fonctions entières à valeurs dans un corps de nombres
Soit un sous-groupe de rang maximal d’un corps de nombres . On montre qu’une fonction entière, envoyant dans l’anneau des entiers d’une extension finie de , de croissance analytique et arithmétique faibles est un polynôme. Ce résultat étend un théorème bien connu de Pólya. On montre également que ce résultat est à constante près optimal.
Fonctions entières arithmétiques
Fonctions entières de type exponentiel comme multiplicateurs. Un exemple et une condition nécessaire et suffisante
Fonctions entières prenant des valeurs entières
Fonctions entieres prenant des valeurs entieres ainsi que ses derivees sur des suites recurrentes binaires.