More delta-convergent sequences that vanish at the support of the limit Dirac delta function

Abstract

Dirac Delta functions are always known to peak at x = 0 as the limit parameter approaches to infinity. However, Galapon (2009) showed that Dirac Delta functions which vanish at x = 0 for all values of the finite parameter do exist. Here, we produce a general formula for such kind of Dirac Delta functions.