q 2-Kampé de Fériet series and sums of continuous dual q±2-Hahn polynomials

DOI10.1063/1.3592599zbMath1317.81163OpenAlexW2019995092MaRDI QIDQ5266063

R. M. Gade

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3592599

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Tensor products of $U^{\prime }_q\bigl (\widehat{sl}(2)\bigr )$Uq′sl̂(2)-modules and the big q2-Jacobi function transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transmutation kernels for the little \(q\)-Jacobi function transform.
• Bilinear summation formulas from quantum algebra representations
• The big \(q\)-Jacobi function transform
• On a general \(q\)-Fourier transformation with nonsymmetric kernels
• Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials
• Bilinear generating functions for orthogonal polynomials
• A q-Extension of Feldheim's Bilinear Sum for Jacobi Polynomials and Some Applications
• Positivity of the Poisson Kernel for the Continuous q-Jacobi Polynomials and Some Quadratic Transformation Formulas for Basic Hypergeometric Series
• The Associated Askey-Wilson Polynomials
• Classical Orthogonal Polynomials as Moments

This page was built for publication: q 2-Kampé de Fériet series and sums of continuous dual q±2-Hahn polynomials