2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119095We investigated an integral representation of a complex function which was obtained from the molecular beam magnetic resonance, and named it as `$g$- function' because it was connected with Gamma function as a special case. We introduced a physical example of the $g$-function from a dipole-dipole interaction of rigid polar molecules.4 pages, 2 figuresMathematical PhysicsA physical application of $g$-functiontext