Sieved orthogonal polynomials
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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 (1984).[1] 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.
References
[edit]- ^ Al-Salam, Waleed; Allaway, W. R.; Askey, Richard (July 1984). "Sieved Ultraspherical Polynomials". Transactions of the American Mathematical Society. 284 (1): 39. doi:10.2307/1999273.
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