title: Orthogonality of the Jacobi polynomials with negative integer parameters
abstract: It is well known that the Jacobi polynomials P/sub n//sup ( alpha , beta )/(x) are orthogonal with respect to a quasi-definite linear functional whenever alpha , beta , and alpha + beta + 1 are not negative integer numbers. Recently, Sobolev orthogonality for these polynomials has been obtained for alpha a negative integer and beta not a negative integer and also for the case alpha = beta negative integer numbers. In this paper, we give a Sobolev orthogonality for the Jacobi polynomials in the remainder cases
keyphrases: orthogonality Jacobi polynomials negative integer parameters quasi-definite linear functional Sobolev orthogonality