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- Askey–Wilson_polynomials abstract "In mathematics, the Askey–Wilson polynomials (or q-Wilson polynomials) are a family of orthogonal polynomials introduced by Askey and Wilson (1985) as q-analogs of the Wilson polynomials. They include many of the other orthogonal polynomials in 1 variable as special or limiting cases, described in the Askey scheme. Askey–Wilson polynomials are the special case of Macdonald polynomials (or Koornwinder polynomials) for the non-reduced affine root system of type (C∨1, C1), and their 4 parameters a, b, c, d correspond to the 4 orbits of roots of this root system.They are defined by where φ is a basic hypergeometric function and x = cos(θ) and (,,,)n is the q-Pochhammer symbol. Askey–Wilson functions are a generalization to non-integral values of n. Askey-Wilson polynomials are the special case of Koornwinder polynomials (or Macdonald polynomials) for the non-reduced root system of type (C∨1, C1).".
- Askey–Wilson_polynomials wikiPageID "19582010".
- Askey–Wilson_polynomials wikiPageRevisionID "590065859".
- Askey–Wilson_polynomials author1Link "Richard Askey".
- Askey–Wilson_polynomials author2Link "James A. Wilson".
- Askey–Wilson_polynomials b "1".
- Askey–Wilson_polynomials first "René F.".
- Askey–Wilson_polynomials first "Roderick S. C.".
- Askey–Wilson_polynomials first "Roelof".
- Askey–Wilson_polynomials first "Tom H.".
- Askey–Wilson_polynomials id "18.28".
- Askey–Wilson_polynomials last "Askey".
- Askey–Wilson_polynomials last "Koekoek".
- Askey–Wilson_polynomials last "Koornwinder".
- Askey–Wilson_polynomials last "Swarttouw".
- Askey–Wilson_polynomials last "Wilson".
- Askey–Wilson_polynomials last "Wong".
- Askey–Wilson_polynomials p "∨".
- Askey–Wilson_polynomials title "Askey-Wilson class".
- Askey–Wilson_polynomials year "1985".
- Askey–Wilson_polynomials subject Category:Hypergeometric_functions.
- Askey–Wilson_polynomials subject Category:Orthogonal_polynomials.
- Askey–Wilson_polynomials subject Category:Q-analogs.
- Askey–Wilson_polynomials comment "In mathematics, the Askey–Wilson polynomials (or q-Wilson polynomials) are a family of orthogonal polynomials introduced by Askey and Wilson (1985) as q-analogs of the Wilson polynomials. They include many of the other orthogonal polynomials in 1 variable as special or limiting cases, described in the Askey scheme.".
- Askey–Wilson_polynomials label "Askey–Wilson polynomials".
- Askey–Wilson_polynomials sameAs Askey%E2%80%93Wilson_polynomials.
- Askey–Wilson_polynomials sameAs Q4807191.
- Askey–Wilson_polynomials sameAs Q4807191.
- Askey–Wilson_polynomials wasDerivedFrom Askey–Wilson_polynomials?oldid=590065859.