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Hypergeometric functions

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Author(s): Antonius Levelt
Publisher: Drukkerij
Year: 1961

Language: English

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