Abstract
We give the recurrence coefficients of polynomials orthogonal on [−1, 1] with respect to
(respectively, with respect to
). We give the distributional equations of polynomials Q
n
(x), of the second category, orthogonal on [−1, 1] with respect to
and R
n
(x) orthogonal on [−1, 1] with respect to
. Finally, we give the recurrence coefficients of Q
n
(x) and R
n
(x) as a conjecture.