1. G. Szegö:Orthogonal polynomials, American Mathematical Society Colloquium Publications, No.23, subsect.6.7 (New York, N. Y., 1939).
2. For the Hermite polynomials we use the notation ofA. Erdélyi (Editor):Higher Transcendental Functions, Vol.2 (New York, N. Y., 1953), hereafter referred to as HTF
3. F. Calogero:The zeros of the classical polynomials coincide with the equilibrium positions of simple one-dimensional many-body problems, Nota Interna 682, Istituto di Fisica dell’Università, Roma (unpublished).
4. F. Calogero:Nuovo Cimento,43 B, 117 (1978).
5. F. Caiogero:Lett. Nuovo Cimento,19, 505 (1977). There is a mistake in eq. (16) of this paper; the + sign in front of (1 +β) should be a - sign.