Multiple little \(q\)-Jacobi polynomials

DOI10.1016/j.cam.2004.03.031zbMath1068.33031arXivmath/0403532OpenAlexW2089997774MaRDI QIDQ1772354

Walter Van Assche, Kelly Postelmans

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403532

zbMATH Keywords

multiple orthogonal polynomialsbasic hypergeometric polynomialsq-Jacobi polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items

Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem, Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator, Asymptotics for the ratio and the zeros of multiple Charlier polynomials, Asymptotics for the ratio and the zeros of multiple Charlier polynomials, Multiple Askey–Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials, On multiple Appell polynomials, Multiple orthogonal polynomials and a counterexample to the Gaudin Bethe Ansatz Conjecture, Generalizations of orthogonal polynomials, Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\), Multiple big q-Jacobi polynomials, P-summability method applied to multivariate \((p, q)\)-Lagrange polynomial operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\)
• Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• Multiple orthogonal polynomials
• Little \(q\)-Legendre polynomials and irrationality of certain Lambert series.
• Some discrete multiple orthogonal polynomials
• Asymptotics of the Askey–Wilson and q-Jacobi Polynomials
• The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
• Multivariable Big and Little q-Jacobi Polynomials
• Some classical multiple orthogonal polynomials