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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). 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.
sieved, orthogonal, polynomials, this, article, relies, largely, entirely, single, source, relevant, discussion, found, talk, page, please, help, improve, this, article, introducing, citations, additional, sources, find, sources, news, newspapers, books, schol. This article relies largely or entirely on a single source Relevant discussion may be found on the talk page Please help improve this article by introducing citations to additional sources Find sources Sieved orthogonal polynomials news newspapers books scholar JSTOR May 2024 This article includes inline citations but they are not properly formatted Please improve this article by correcting them May 2024 Learn how and when to remove this message 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 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 editAl Salam Waleed Allaway W R Askey Richard 1984 Sieved ultraspherical polynomials Transactions of the American Mathematical Society 284 1 39 55 CiteSeerX 10 1 1 308 3668 doi 10 2307 1999273 ISSN 0002 9947 JSTOR 1999273 MR 0742411 nbsp This polynomial related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Sieved orthogonal polynomials amp oldid 1223603458, wikipedia, wiki, book, books, library,
