Faton points for annular functions.
Fatou components whose boundaries have a common curve
We show that the Fatou components of a certain transcendental entire function have a common curve in their boundaries.
Fine structure of prime-ends.
Finely holomorphic and finely subharmonic functions in contour-solid problems.
Finite and infinite order of growth of solutions to linear differential equations near a singular point
In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted definitions.
Finite order solutions of complex linear differential equations.
Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity
This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions , , on an annulus share four distinct values regardless of multiplicity and have the complete identity set of positive counting function, then or or . This result deduces that there are at most two admissible meromorphic functions on an annulus sharing a value with multiplicity truncated to level and...
Fixed points and boundary behaviour of the Koenigs function.
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
Fonction de Tschakaloff et fonction q-exponentielle
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.
Fonctions Entières Prenant des Valeurs Presque Entières aux Points d'une Progression Géométrique.