The Nu Class of Low-Degree-Truncated, Rational, Generalized Functions. Ib. Integrals of Matern-correlation functions for all odd-half-integer class parameters

Abstract

This paper is an extension of Parts I and Ia of a series about Nu-class generalized functions. We provide hand-generated algebraic expressions for integrals of single Matern-covariance functions, as well as for products of two Matern-covariance functions, for all odd-half-integer class parameters. These are useful both for IMSPE-optimal design software and for testing universality of Nu-class generalized-function properties, across covariance classes.