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Hypergeometric functions

โœ Scribed by Antonius Levelt


Publisher
Drukkerij
Year
1961
Tongue
English
Leaves
51
Category
Library

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โœฆ Table of Contents


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


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Generalized hypergeometric functions
โœ Bernard M Dwork ๐Ÿ“‚ Library ๐Ÿ“… 1990 ๐Ÿ› Clarendon ๐ŸŒ English

Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarksy principle which expresses the analytic properties of a certain proto-gamma function. The author develops a theory whic