Zeros of polynomials orthogonal with respect to a signed weight (Q663561)

The authors consider the monic orthogonal polynomial sequence \(\{P_n^{\alpha,q} : n\in \mathbb{N}_0\}\) which is orthogonal on \([-1,1]\) with respect to the signed weight \(x^{2q+1}(1 - x^2)^\alpha(1-x)\), \(\alpha > -1\), and \(q\in \mathbb{N}\). They prove that all zeros of these orthogonal polynomials are real, non-interlacing, and that one of the zeros is the endpoint -1.