A Rodriguez formula and integration measure for the quantum deformed Legendre functions

DOI10.1063/1.531554zbMath0864.33010OpenAlexW2031559149MaRDI QIDQ5284262

Jeffrey R. Schmidt

Publication date: 3 June 1997

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

Full work available at URL: https://doi.org/10.1063/1.531554

zbMATH Keywords

Legendre functionsquantum su(2)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Unitary representations of the quantum algebra suq(2) on a real two-dimensional sphere for q∈R+ or generic q∈S1

Cites Work

• On the q oscillator and the quantum algebra su_q(1,1)
• Representations of the quantum algebra suq(2) on a real two-dimensional sphere
• A simple difference realization of the Heisenberg q-algebra

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