Croissance et oscillation des solutions des équations différentielles linéaires au voisinage d’un point singulier

Abstract

This thesis is devoted to the study of the growth and oscillation of solutions to certain classes of linear differential equations whose coefficients are analytic in the closed complex plane except a finite singular point. For that, we use the Nevanlinna theory with an adapted notions by a conformal mapping. We point out that there are several similarities between the results of the complex plane and the results obtained in this work.