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About: Sieved orthogonal polynomials     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatOrthogonalPolynomialsyago:Abstraction100002137yago:Function113783816yago:MathematicalRelation113783581yago:Polynomial105861855yago:Relation100031921 New Facet based on Instances of this Class

In mathematics, sieved orthogonal polynomials are orthogonal polynomials whose recurrence relations are formed by sieving the recurrence relations of another family; in other words, some of the recurrence relations are replaced by simpler ones. The first examples were the sieved ultraspherical polynomials introduced by Waleed Al-Salam, W. R. Allaway, and Richard Askey. Mourad Ismail later studied sieved orthogonal polynomials in a long series of papers. Other families of sieved orthogonal polynomials that have been studied include sieved Pollaczek polynomials, and sieved Jacobi polynomials.