PageHeader : Funkcialaj Ekvacioj, 34 (1991) 505-527
Title : Irregular Singularity, Iterated Integrals and Connexion Problem
AuthorInfo : By
AuthorInfo : Bernard KLARES and Charles SADLER*
AuthorInfo : (Universite de Metz, France)
section : Introduction
subsection : 1) Motivations
subsection : 2) Results
section : Chapter I
subsection : 1) Notations
subsection : 2) Theorem. There exist $P(x)$ , $Z(x)$ , $D(x)\in M(m)$ , $x_{0}>0$ , $\epsilon_{0}>0$ , such that: $\mathrm{Y}(x)=P(x)Z(x)$ is a fundamental matrix of (1), $Z^{\prime}(x)=(\sum_{k=0}^{q+1}d(A_{k})x^{q-k}+D(x))Z(x)$
subsection : 3) Proof of the theorem
subsection : 4) Example
section : Chapter II. Two examples of connexion systems
subsection : 1) Connexion systems for the Kummer equations
subsection : 2) Example 2
section : Bibliography