The moments of the density of zeros for the relativistic hermite and Laguerre polynomials

AbstractThe moments of the density of zeros of two new orthogonal polynomial systems, called Relativistic Hermite Polynomials {H(N)n (ξ)}∞n=0 (RHP) and Relativistic Laguerre Polynomials {L(α,N)n (ξ)}∞n=0 (RLP), are represented by means of a Cases' method and of a representation formula, introduced by Ricci, in terms of generalized Lucas polynomials of the second kind. By using a FORTRAN program, numerical computations are explicitly developed in some particular case