Book:Bernard Dwork/Generalized hypergeometric functions

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