Hypergeometric functions

Title page PREFACE CHAPTER 1. A preliminary algebraic problem 1. Introduction 2. The algebraic problem CHAPTER II. Oharacterization of the solution space of a differential equation with a weak singularity 1. Introduction 2. Analysis of singular points 3. Linear differential equations CHAPTER III. Hypergeometric functions 1. Introduction 2. Analytical preliminaries 3. Hypergeometric functions 4. A special Riemann-Hilbert problem CHAPTER IV. Bome applications 1. Introduction 2. Some special solutions of the hypergeometric differential equation and their interrelations 3. A quadratic transformation 4. Conc1uding remarks SAMENVATTING