Big \(q\)-Jacobi polynomials, \(q\)-Hahn polynomials, and a family of quantum 3-spheres

DOI10.1007/BF00429949zbMath0749.33010MaRDI QIDQ1813847

Masatoshi Noumi, Katsuhisa Mimachi

Publication date: 25 June 1992

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

zbMATH Keywords

quantum groupbig \(q\)-Jacobi polynomials\(q\)-Hahn polynomialsquantum spherical functions

Mathematics Subject Classification ID

Related Items (6)

Representations of the quantum algebra suq(2) on a real two-dimensional sphere ⋮ The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials ⋮ Representations of quadratic *-algebras by bounded and unbounded operators ⋮ Quantum 2-spheres and big q-Jacobi polynomials ⋮ Unnamed Item ⋮ Lie algebras and recurrence relations. III: \(q\)-analogs and quantized algebras

Cites Work

• Unnamed Item
• Quantum 2-spheres and big q-Jacobi polynomials
• Quantum spheres
• Poisson manifolds and the Schouten bracket
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials

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