Some semiclassical orthogonal polynomials of class one (Q2910106)

The authors solve the Laguerre-Freud equations for the recurrence coefficients of the semiclassical orthogonal polynomials of class one, in a particular case. They show that the solution is unique up to an affine transformation. They also obtain the integral representation and, as a consequence, the moments of the corresponding form. Furthermore, both the characteristic elements of the structure relation and of the second order differential equation are explicitly given.