Integral of exponent of a polynomial is a generalized hypergeometric function of the coefficients of the polynomial

2010/05/26 by Alexander Stoyanovsky, Stoyanovsky, Alexander
Mathematics · Physics and Astronomy · #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.CV #math.MP

paper · pdf · doi:10.48550/arxiv.1005.4890

3 pages, a reference added, minor corrections

arxiv created 2010/12/14 · arxiv updated 2010/12/15

Abstract

We show that the integral ∫ e^{S(x₁,...,x_n)}dx₁...dx_n, for an arbitrary polynomial S, satisfies a generalized hypergeometric system of differential equations in the sense of I. M. Gelfand et al.

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