Book:Bernard Dwork/Generalized hypergeometric functions
From specialfunctionswiki
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
