Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.
Estimation over curves of the functions given by Dirichlet series on a half-plane.
Etude sur les propriétés des fonctions entières et en particulier d'une fonction considérée par Riemann
Exact asymptotics of nonlinear difference equations with levels and
We study a class of nonlinear difference equations admitting a -Gevrey formal power series solution which, in general, is not - (or Borel-) summable. Using right inverses of an associated difference operator on Banach spaces of so-called quasi-functions, we prove that this formal solution can be lifted to an analytic solution in a suitable domain of the complex plane and show that this analytic solution is an accelero-sum of the formal power series.
Exactness of the approximation of subharmonic function by the logarithm of the modulus of an analytic function in the Chebyshev metric.
Exceptional sets, subordination, and functions of uniformly bounded characteristic.
Exceptional values of a meromorphic function and its derivatives
Exceptional Values of Entire and Meromorphic Functions.
Exceptional values of linear combinations of the derivatives of a meromorphic function
Exceptional values of meromorphic functions
Exceptional values of meromorphic functions and of their derivatives on annuli
This paper is devoted to exceptional values of meromorphic functions and of their derivatives on annuli. Some facts on exceptional values for meromorphic functions in the complex plane which were established by Singh, Gopalakrishna and Bhoosnurmath [Math. Ann. 191 (1971), 121-142, and Ann. Polon. Math. 35 (1977/78), 99-105] will be considered on annuli.
Exceptional Values of Solutions of Linear Differential Equations.
Existence of entire solutions of nonlinear difference equations
In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different forms.
Extension a la dimension n d'un théorème de Ortel et Schneider.
Extension and normality of meromorphic mappings into complex projective varieties
The purpose of this article is twofold. The first is to show a criterion for the normality of holomorphic mappings into Abelian varieties; an extension theorem for such mappings is also given. The second is to study the convergence of meromorphic mappings into complex projective varieties. We introduce the concept of d-convergence and give a criterion of d-normality of families of meromorphic mappings.
Extension Gevrey et rigidité dans un secteur
We study a rigidity property, at the vertex of some plane sector, for Gevrey classes of holomorphic functions in the sector. For this purpose, we prove a linear continuous version of Borel-Ritt's theorem with Gevrey conditions
Extension maps in ultradifferentiable and ultraholomorphic function spaces
The problem of the existence of extension maps from 0 to ℝ in the setting of the classical ultradifferentiable function spaces has been solved by Petzsche [9] by proving a generalization of the Borel and Mityagin theorems for -spaces. We get a Ritt type improvement, i.e. from 0 to sectors of the Riemann surface of the function log for spaces of ultraholomorphic functions, by first establishing a generalization to some nonclassical ultradifferentiable function spaces.
Extensions of Hiong's inequality.
Extrait d'une lettre à M. Hermite
Extrait d'une lettre de Monsieur Ch. Hermite à Monsieur Paul Gordan.