Integral of exponent of a polynomial is a generalized hypergeometric function of the coefficients of the polynomial
Alexander Roi Stoyanovsky · arXiv (Cornell University) · 2010
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.