Abstract
In the present work we deal with the quadratic decomposition of symmetric semiclassical polynomial sequences of class 2 orthogonal with respect to the positive definite weight vertical bar x(2) - 1/2 vertical bar(p)(1 - x(2))-(1/2), p > -1, on [-1, 1]. The coefficients of the three-term recurrence relation, the structure relation, the differential equation as well as some information about the zeros of the corresponding orthogonal polynomials are given. These results reduce to the Chebyshev case for p = 0.