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

preprint2016arXivOpen access

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

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

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