  This paper describes the partial wave expansion and integral representation
of Bessel beams in free space and in the presence of dispersion. The expansion
of the Bessel beam wavepacket with constant spectrum is obtained as well.
Furthermore, the sum of a triple Legendre polynomial product of same order but
different argument follows naturally from the partial wave expansion. The
integration of all Bessel beams over all conical angles is shown to have a
simple series representation, which confirms the equivalence between the
results for both expansion and integral representation.
