Analytic properties of nondiagonal Jacobi–Sobolev orthogonal polynomials

摘要

We study asymptotic properties (as n→∞) of polynomials Qn(x)=xn+⋯, orthogonal with respect to the inner product(p,q)S=∫−11(p,p′)1μμλqq′(1−x)α(1+x)βdx,where λ−μ2>0 and α,β>−1.