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In mathematics , sieved Jacobi polynomials are a family of sieved orthogonal polynomials , introduced by .. sieved orthogonal polynomials. sieved orthogonal polynomials. Jacobi polynomials. Jacobi polynomials. Their recurrence relations are a modified -LRB- or `` sieved '' -RRB- version of the recurrence relations for Jacobi polynomials .. Jacobi polynomials. Jacobi polynomials