 If and are monic polynomials of degree and with respective roots and , we have

If we have a way to calculate the gamma function numerically, it is a breeze to calculate numerical values of such products.The number of gamma functions in the right-hand side depends only on the degree of the polynomials, so it does not matter whether equals 5 or 105.By taking the appropriate limits, the equation can also be made to hold even when the left-hand product contains zeros or poles.