Weighted Sobolev orthogonal polynomials on the unit ball

Teresa E. Perez, Miguel A. Pinar, Yuan Xu

For the weight function $W_{\mu }(x)=(1-|x{|}^2{)}^{\mu }$, $\mu >-1$, $\lambda >0$ and $b_{\mu }$ a normalizing constant, a family of mutually orthogonal polynomials on the unit ball with respect to the i…