On an alternative to Wong’s asymptotic expansion of the Kontorovich–Lebedev transform near the origin

Abstract

Abstract An asymptotic expansion is constructed for values near the origin of a function whose Kontorovich–Lebedev transform is an even analytic function. The expansion obtained is expressed in terms of the poles and residues of the analytic function and provides an alternative to one obtained by Wong (1981) which becomes inapplicable.