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

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

2010-05-26

arxiv.org/abs/1005.4890v4

Physics

Mathematical Physics

3 pages, a reference added, minor corrections

Scientific paper

We show that the integral \int e^{S(x_1,...,x_n)}dx_1...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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