Gevrey series of arithmetic type. I: Purity and duality theorems. (Séries Gevrey de type arithmétique. I: Théorèmes de pureté et de dualité.)
Gevrey series of arithmetic type. II: Transcendence without transcendence. (Séries Gevrey de type arithmétique. II: Transcendance sans transcendance.)
Global properties of the Painlevé transcendents: new results and open questions.
Groupe de Galois différentiel local et représentation adjointe
Dans cet article on s’intéresse à la représentation adjointe du tore exponentiel sur l’algèbre de Lie du groupe de Galois différentiel local. Nous proposons un algorithme pour réduire les sous-espaces poids de dimension supérieure à 1 à des sous-espaces de racines. Ce faisant, on construit un tore (en général) maximal qui contient le tore exponentiel. Au cours de ce travail on est amené à étudier la régularité du tore exponentiel dans le groupe de Galois local.
Growth and fixed points of meromorphic solutions of higher order linear differential equations
We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
Growth and oscillation of differential polynomials in the unit disc.
Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order.
Growth and oscillation of some class of differential polynomials in the unit disc
Growth and oscillation theory of solutions of some linear differential equations
Growth estimates for solutions of linear complex differential equations.
Growth of meromorphic solutions of higher-order linear differential equations.
Growth of solutions of a class of complex differential equations
The main purpose of this paper is to partly answer a question of L. Z. Yang [Israel J. Math. 147 (2005), 359-370] by proving that every entire solution f of the differential equation has infinite order and its hyperorder is a positive integer or infinity, where P is a nonconstant entire function of order less than 1/2. As an application, we obtain a uniqueness theorem for entire functions related to a conjecture of Brück [Results Math. 30 (1996), 21-24].
Growth of solutions of certain non-homogeneous linear differential equations with entire coefficients.
Growth of solutions of complex differential equations with coefficients of finite iterated order.
Growth of solutions of higher-order linear differential equations.
Growth of solutions of nonhomogeneous linear differential equations.
Growth of solutions to higher order linear homogeneous differential equations in angular domains.
Growth of solutions to linear differential equations with entire coefficients of slow growth.
Hamiltonian structure of pi hierarchy.
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.