Pfaffian equations and contiguity relations of the hypergeometric function of type $(k+1,k+n+2)$ and their applications

Abstract

We study the structures of Pfaffian equations and contiguity relations of the hypergeometric function of type $(k+1,k+n+2)$ by using twisted cohomology groups and the intersection form on them. We apply our results to algebraic statistics; numerical evaluation of the normalizing constants of two way contingency tables with fixed marginal sums.

32 pages

References in corpus (2)

• Pfaffian Systems of A-Hypergeometric Systems II --- Holonomic Gradient Method
• $A$-Hypergeometric Distributions and Newton Polytopes