polynomials discussed in Andrews & Askey (1985), the Askey scheme was first drawn by Labelle (1985) and by Askey and Wilson (1985), and has since been...
8 KB (799 words) - 04:12, 1 January 2023
{\displaystyle q} -)Askey scheme, which organizes orthogonal polynomials of ( q {\displaystyle q} -)hypergeometric type into a hierarchy. The Askey–Gasper inequality...
10 KB (775 words) - 03:12, 14 August 2024
Hahn polynomials, and the classical polynomials, described by the Askey scheme The Askey–Wilson polynomials introduce an extra parameter q into the Wilson...
14 KB (2,068 words) - 08:55, 3 February 2025
classical polynomials; for example, Andrews & Askey (1985) use the term for all polynomials in the Askey scheme. In general, the orthogonal polynomials P...
35 KB (6,133 words) - 08:45, 3 February 2025
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
3 KB (354 words) - 22:57, 2 June 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (233 words) - 17:55, 10 November 2022
polynomials in 1 variable as special or limiting cases, described in the Askey scheme. Askey–Wilson polynomials are the special case of Macdonald polynomials...
3 KB (603 words) - 00:27, 13 June 2024
n(x|q), introduced by Askey & Wilson (1985), are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter...
3 KB (415 words) - 16:33, 19 June 2023
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (242 words) - 06:00, 13 May 2024
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (270 words) - 20:05, 14 August 2023
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (254 words) - 17:54, 10 November 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (270 words) - 14:46, 16 January 2024
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Hahn (1949). Roelof Koekoek, Peter A. Lesky, and René...
3 KB (287 words) - 22:33, 2 June 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
3 KB (485 words) - 15:18, 10 November 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Carlitz and Hodges. Roelof Koekoek, Peter A. Lesky, and...
2 KB (322 words) - 19:14, 18 December 2023
basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Askey & Wilson (1979). Roelof Koekoek, Peter A. Lesky, and René...
3 KB (380 words) - 22:58, 2 June 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
3 KB (284 words) - 16:04, 21 January 2024
Cambridge. ISBN 0-521-83357-4. Roelof Koekoek and Rene F. Swarttouw, The Askey scheme of orthogonal polynomials and its q-analogues, section 0.2. Exton, H...
13 KB (2,654 words) - 18:11, 19 August 2024
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme.Koekoek, Lesky & Swarttouw (2010) give a detailed list of their properties...
1 KB (179 words) - 05:59, 13 May 2024
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (245 words) - 23:16, 1 May 2024
discrete distributions using orthogonal polynomials from the so-called Askey-scheme and demonstrated L 2 {\displaystyle L_{2}} convergence in the corresponding...
18 KB (2,437 words) - 20:41, 3 February 2025
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (304 words) - 15:30, 10 November 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. The polynomials are given in terms of basic hypergeometric functions...
2 KB (282 words) - 05:46, 20 June 2024
John Colin Askey (born 4 November 1964) is an English professional football manager and former player who is the manager of National League South club...
63 KB (5,926 words) - 14:44, 3 March 2025
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
3 KB (377 words) - 22:58, 2 June 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (234 words) - 20:51, 2 June 2022
Cambridge University Press. Koekoek, R. & Swarttouw, R. F. (1998), The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, 98-17, Delft...
10 KB (1,437 words) - 00:47, 28 December 2024
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme introduced by Daniel S. Moak (1981). Roelof Koekoek, Peter A. Lesky,...
3 KB (291 words) - 01:47, 29 January 2023
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14). give...
3 KB (325 words) - 17:55, 10 November 2022
a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give...
2 KB (271 words) - 16:04, 21 January 2024