The authors continue work on the real orthogonalizing weight for the generalized Bessel polynomials, see K. H. Kwon, S. S. Kim and S. S. Han [Orthogonalizing weights of Tchebychev sets of polynomials [Bull. Lond. Math. Soc. 24, No. 4, 361-367 (1992; Zbl 0768.33007)]. Using ‘polynomial killers’ (i.e. a distribution having moments already given by Stieltjes, their result is in the form with
and zero for , under the condition ; this condition is satisfied for at least the choices .