Continued fractions for Rogers--Szegö polynomials

DOI10.1023/B:NUMA.0000016604.14688.21zbMath1039.05010MaRDI QIDQ1430249

Yan-Ping Mu, Qing-Hu Hou, Lascoux, Alain

Publication date: 27 May 2004

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialscontinued fractionsHankel determinants\(q\)-binomial coefficientsRogers-Szegö polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Operator identities involving the bivariate Rogers-Szegö polynomials and their applications to the multiple \(q\)-series identities, A product formula for multivariate Rogers-Szegő polynomials, Positivity preserving transformations for 𝑞-binomial coefficients, Addition theorems via continued fractions, Quadrature formulas associated with Rogers-Szegő polynomials, An application of Szegő polynomials to the computation of certain weighted integrals on the real line, Advanced determinant calculus: a complement