Explicit matrix inverses for lower triangular matrices with entries involving continuous \(q\)-ultraspherical polynomials

DOI10.1016/J.JAT.2015.06.004zbMath1333.33024arXiv1411.3533OpenAlexW1557137872MaRDI QIDQ496567

Noud Aldenhoven

Publication date: 22 September 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3533

zbMATH Keywords

orthogonal polynomials\(q\)-Racah polynomialscontinuous \(q\)-ultraspherical polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Matrix-valued orthogonal polynomials related to the quantum analogue of \((\mathrm{SU}(2) \times \mathrm{SU}(2), \text{diag})\) ⋮ Dual addition formulas: the case of continuous \(q\)-ultraspherical and \(q\)-Hermite polynomials ⋮ A new linear inversion formula for a class of hypergeometric polynomials

Cites Work

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• Matrix-valued orthogonal polynomials related to \((\mathrm{SU}(2) \times \mathrm{SU}(2), \mathrm{diag})\). II
• Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• LU-decomposition of a noncommutative linear system and Jacobi polynomials
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• Matrix-Valued Orthogonal Polynomials Related to (SU(2)×SU(2), diag)

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