THE RELATIVISTIC HERMITE POLYNOMIAL IS A GEGENBAUER POLYNOMIAL

It is shown that the polynomials introduced recently by Aldaya, Bisque rt, and Navarro-Salas [Phys. Lett. A 156, 381 (1991)] in connection wi th a relativistic generalization of the quantum harmonic oscillator ca n be expressed in terms of Gegenbauer polynomials. This fact is useful in the investigation of the properties of the corresponding wave func tion. Some examples are given, in particular, related to the asymptoti c behavior and to the distribution of zeros of the polynomials for lar ge quantum numbers.