basic polynomials

basic polynomials
Математика: базисные многочлены

Универсальный англо-русский словарь. . 2011.

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  • Continuous q-Jacobi polynomials — In mathematics, the continuous q Jacobi polynomials P(α,β) n(x|q), introduced by Askey Wilson (1985), are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F.… …   Wikipedia

  • Discrete q-Hermite polynomials — In mathematics, the discrete q Hermite polynomials are two closely related families hn(x;q) and ĥn(x;q) of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Al Salam and Carlitz (1965). Roelof Koekoek,… …   Wikipedia

  • Continuous big q-Hermite polynomials — In mathematics, the continuous big q Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… …   Wikipedia

  • Continuous dual q-Hahn polynomials — In mathematics, the continuous dual q Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… …   Wikipedia

  • Continuous q-Hahn polynomials — In mathematics, the continuous q Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… …   Wikipedia

  • Continuous q-Hermite polynomials — In mathematics, the continuous q Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… …   Wikipedia

  • Continuous q-Laguerre polynomials — In mathematics, the continuous q Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… …   Wikipedia

  • Dual q-Hahn polynomials — In mathematics, the dual q Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.… …   Wikipedia

  • Dual q-Krawtchouk polynomials — In mathematics, the dual q Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… …   Wikipedia

  • Rogers polynomials — Not to be confused with Rogers–Szegő polynomials. In mathematics, the Rogers polynomials, also called Rogers–Askey–Ismail polynomials and continuous q ultraspherical polynomials, are a family of orthogonal polynomials introduced by… …   Wikipedia

  • Askey–Wilson polynomials — In mathematics, the Askey Wilson polynomials are the polynomials:p n(x;a,b,c|q) =(ab,ac,ad;q) na^{ n}; {4}phi 3 left [egin{matrix} q^{ n} abcdq^{n 1} ae^{i heta} ae^{ i heta} ab ac ad end{matrix} ; q,q ight] where phi; is a basic hypergeometric… …   Wikipedia


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