Determinant inequalities for sieved ultraspherical polynomials
J. Bustoz1and I. S. Pyung2
Received28 Mar 2000
Abstract
Paul Turan first observed that the Legendre polynomials satisfy
the inequality Pn2(x)−Pn−1(x)Pn(x)>0, −1<x<1. Inequalities of this type have since been proved for both
classical and nonclassical orthogonal polynomials. In this
paper, we prove such an inequality for sieved orthogonal
polynomials of the second kind.