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

2016/02/04 by Yoshiaki Gotō, Goto, Yoshiaki, Keiji Matsumoto +1
Computer Science · Mathematics · #33C70 #33C90 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1602.01637

openalex publication_date 2016/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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