Book:Bernard Dwork/Generalized hypergeometric functions

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Bernard Dwork: Generalized hypergeometric functions

Published $1990$, Oxford University Press.


Contents

INTRODUCTION
1. MULTIPLICATION BY $x^{\mu}$ (GAUSS CONTIGUITY)
2. ALGEBRAIC THEORY
3. VARIATION OF $\mathscr{W}_a$ with $g$
4. ANALYTIC THEORY
5. DEFORMATION THEORY
6. STRUCTURE OF $H_g$
7. LINEAR DIFFERENTIAL EQUATIONS OVER A RING
8. SINGULARITIES (GENERALITIES)
9. NON-REGULAR CASE
10. MODIFIED LAPLACE TRANSFORM
11. ALGEBRAIC THEORY OF LAPLACE TRANSFORM
12. EXAMPLES
13. DEGENERATE PARAMETERS
14. VALUE AT THE ORIGIN
15. GENERIC CASE
16. FORMAL ANALYTIC THEORY
17. DUALITY
18. DUALITY-ANALYTIC THEORY
19. NON DEGENERACY of $\overline{\Theta}_a$
20. FERMAT SURFACE
REFERENCES
INDEX OF NOTATION
INDEX