document: Orthogonality of the Jacobi polynomials with negative integer parameters It is well known that the Jacobi polynomials P/sub n / / sup -LRB- alpha , beta -RRB- / -LRB- x -RRB- 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
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