First, we discuss and correlate the various types of regularizations available in the literature for the singular function , where k is an integer and H(x) is the Heaviside function. Then we present the corresponding regularization for the function r−k, where r is the radial distance in n. Thereafter, we express the recently discovered distributional derivatives of this function in terms of pseudofunctional language commonly used in the Coulomb, gravitational, and interparticle potentials where the function plays a fundamental role.
