Classical and Sobolev Orthogonality of the Nonclassical Jacobi Polynomials with Parameters α=β=-1

Andrea Bruder, Lance Littlejohn

In this paper, we consider the second-order differential expression \ell [y](x)=(1-x^2)(-(y'(x))'+k(1-x^2)^(-1)y(x))(x\in(-1,1)). This is the Jacobi differential expression with no…