INTEGRAL AND SERIES REPRESENTATIONS OF THE DIRAC DELTA FUNCTION

Abstract. Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in the physics liter-ature. These include integrals of products of Airy functions, and of Coulomb wave functions; they also include series of products of Laguerre polynomials and of spherical harmonics. The methods used are essentially based on the asymptotic behavior of these special functions. 1