Zeros of polynomials orthogonal with respect to a signed weight

M. Benabdallah, M. J. Atia, R. S. Costas-Santos

In this paper we consider the polynomial sequence $(P_n^{\alpha ,q}(x))$ that is orthogonal on $[-1,1]$ with respect to the weight function $x^{2q+1}(1-x^{2})^α(1-x), α>-1, q\in \mathb…