Generalized Hypergeometric Functions

hypergeometric djvu

Generalized
hypergeometric
functions

BERNARD DWORK
Professor of Mathematics
Princeton University

CLARENDON PRESS ß OXFORD
1990

djVu format

CONTENTS
INTRODUCTION 1
1. MULTIPLICATION BY X u (GAUSS CONTIGUITY) 13
2. ALGEBRAIC THEORY 16
3. VARIATION OF Va WITH g 28
4. ANALYTIC THEORY 39
5. DEFORMATION THEORY 49
6. STRUCTURE OF H s 57
7. LINEAR DIFFERENTIAL EQUATIONS OVER A RING 71
8. SINGULARITIES (GENERALITIES) 75
9. NON-REGULAR CASE 84
10. MODIFIED LAPLACE TRANSFORM 92
11. ALGEBRAIC THEORY OF LAPLACE TRANSFORM 102
12. EXAMPLES 107
13. DEGENERATIVE PARAMETERS 127
14. VALUE AT THE ORIGIN 135
15. GENERIC CASE 139
16. FORMAL ANALYTIC THEORY 142
17. DUALITY 150
18. DUALITY--ANALYTIC THEORY 159
19. NON DEGENERACY OF )a 165
20. FERMAT SURFACE 171
REFERENCES 180
INDEX OF NOTATION 182
INDEX 187