Regularization through imposition of prescription on the bare parameter of expansion

Abstract

A new regularization procedure is presented by way of application to a series solution of an integral equation containing divergent integrals as coefficients. This procedure involves differentiation of divergent integrals to produce resulting integrals that converges. Indefinite integrations is performed to retrieve the original coefficients which give rise to constants that act as regulators. The values of the regulators are identified by imposing a relation between the value of the bare parameter and experimental value of the solution, f(x), measured at some point x=μ.