About: Askey scheme

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In mathematics, the Askey scheme is a way of organizing orthogonal polynomials of hypergeometric or basic hypergeometric type into a hierarchy. For the classical orthogonal polynomials discussed in , the Askey scheme was first drawn by and by Askey and Wilson, and has since been extended by and to cover basic orthogonal polynomials.

Attributes	Values
rdf:type	yago:WikicatOrthogonalPolynomials yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Polynomial105861855 yago:Relation100031921 yago:WikicatHypergeometricFunctions
rdfs:label	Esquema d'Askey (ca) Askey scheme (en) アスキースキーム (ja) 正交多项式的阿斯基方案 (zh)
rdfs:comment	En matemàtiques, l'esquema d'Askey és una manera d'organitzar de tipus hipergeomètric o hipergeomètric bàsic en una jerarquia. Per als polinomis ortogonals clàssics comentats a Andrews i Askey (1985), l'esquema d'Askey va ser dibuixat per primer cop per Lebelle (1985) i per Askey i Wilson (1985), i des d'aleshores ha sigut estès per Koekoek i Swarttouw (1998) i Koekoek, Lesky i Swarttouw (2010) per cobrir els polinomis ortogonals bàsics. (ca) In mathematics, the Askey scheme is a way of organizing orthogonal polynomials of hypergeometric or basic hypergeometric type into a hierarchy. For the classical orthogonal polynomials discussed in , the Askey scheme was first drawn by and by Askey and Wilson, and has since been extended by and to cover basic orthogonal polynomials. (en) アスキースキーム（あすきーすきーむ、英: Askey scheme）は数学における手法であって、直交多項式を超幾何級数、及びq-超幾何級数よって体系づける。 (ja) 正交多项式的阿斯基方案是1985年阿斯基和威尔逊首先提出的关于正交多项式的分类方案，后经科伊克伊克等学者扩充以包括基本超几何多项式. 4F3威尔逊 \| 拉卡3F2连续双哈恩 \| 连续哈恩 \| 哈恩 \| 双重哈恩2F1梅西纳-珀拉泽克多 \| 雅可比 \| \| 梅西纳 \| 克拉夫楚克多项式2F0/1F1拉盖尔 \| \| 查理耶1F0 (zh)
dcterms:subject	Hypergeometric functions Orthogonal polynomials Q-analogs
Wikipage page ID	32649081 (xsd:integer)
Wikipage revision ID	1087279989 (xsd:integer)
Link from a Wikipage to another Wikipage	Meixner polynomials Meixner–Pollaczek polynomials Q-Meixner polynomials Q-Meixner–Pollaczek polynomials Q-Charlier polynomials Hypergeometric functions Bessel polynomials Q-Racah polynomials Stieltjes–Wigert polynomials Q-Krawtchouk polynomials Pseudo Jacobi polynomials Q-Bessel polynomials Q-Hahn polynomials Q-Laguerre polynomials Continuous Hahn polynomials Continuous big q-Hermite polynomials Continuous dual Hahn polynomials Continuous dual q-Hahn polynomials Continuous q-Hahn polynomials Continuous q-Hermite polynomials Continuous q-Jacobi polynomials Continuous q-Laguerre polynomials Hahn polynomials Dual Hahn polynomials Dual q-Hahn polynomials Dual q-Krawtchouk polynomials Al-Salam–Carlitz polynomials Al-Salam–Chihara polynomials Charlier polynomials Discrete q-Hermite polynomials Hermite polynomials Jacobi polynomials Askey–Wilson polynomials Affine q-Krawtchouk polynomials Orthogonal polynomials Q-analogs Laguerre polynomials Big q-Jacobi polynomials Big q-Laguerre polynomials Orthogonal polynomials Little q-Jacobi polynomials Little q-Laguerre polynomials Racah polynomials Quantum q-Krawtchouk polynomials Wilson polynomials Krawtchouk polynomials Springer-Verlag
Link from a Wikipage to an external page	http://homepage.tudelft.nl/11r49/askey/%7Cyear=1998 https://books.google.com/books%3Fid=9q9o03nD_xsC https://ir.cwi.nl/pub/2419
sameAs	Askey scheme Askey scheme Askey scheme Askey scheme Askey scheme Askey scheme Askey scheme
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harvtxt dbt:Short_description dbt:Use_American_English dbt:Use_mdy_dates dbt:Harvs
authorlink	Richard Askey (en)
last	Wilson (en) Askey (en)
year	1985 (xsd:integer)
has abstract	En matemàtiques, l'esquema d'Askey és una manera d'organitzar de tipus hipergeomètric o hipergeomètric bàsic en una jerarquia. Per als polinomis ortogonals clàssics comentats a Andrews i Askey (1985), l'esquema d'Askey va ser dibuixat per primer cop per Lebelle (1985) i per Askey i Wilson (1985), i des d'aleshores ha sigut estès per Koekoek i Swarttouw (1998) i Koekoek, Lesky i Swarttouw (2010) per cobrir els polinomis ortogonals bàsics. (ca) In mathematics, the Askey scheme is a way of organizing orthogonal polynomials of hypergeometric or basic hypergeometric type into a hierarchy. For the classical orthogonal polynomials discussed in , the Askey scheme was first drawn by and by Askey and Wilson, and has since been extended by and to cover basic orthogonal polynomials. (en) アスキースキーム（あすきーすきーむ、英: Askey scheme）は数学における手法であって、直交多項式を超幾何級数、及びq-超幾何級数よって体系づける。 (ja) 正交多项式的阿斯基方案是1985年阿斯基和威尔逊首先提出的关于正交多项式的分类方案，后经科伊克伊克等学者扩充以包括基本超几何多项式. 4F3威尔逊 \| 拉卡3F2连续双哈恩 \| 连续哈恩 \| 哈恩 \| 双重哈恩2F1梅西纳-珀拉泽克多 \| 雅可比 \| \| 梅西纳 \| 克拉夫楚克多项式2F0/1F1拉盖尔 \| \| 查理耶1F0 (zh)
gold:hypernym	Way
prov:wasDerivedFrom	wikipedia-en:Askey_scheme?oldid=1087279989&ns=0
page length (characters) of wiki page	7634 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Askey_scheme
is Link from a Wikipage to another Wikipage of	Q-Meixner polynomials Q-Meixner–Pollaczek polynomials Q-Charlier polynomials Richard Askey Deaths in October 2019

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