Abstract: The calculus of residue
is applied to evaluate certain integrals in the range using
the Maple symbolic code. These integrals are of the form and
similar extensions. The Maple code is also applied to expressions in maximum
likelihood estimator moments when sampling from the negative binomial
distribution. In general, the Maple code approach to the integrals gives correct
answers to specified decimal places, but the symbolic result may be extremely
long and complex.
Keywords and phrases: alternant determinant, calculus residues, contour integration.
