A relativistic hypergeometric function

DOI10.1016/j.cam.2004.05.024zbMath1077.33001OpenAlexW2110600073MaRDI QIDQ1772356

Simon N. M. Ruijsenaars

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.05.024

zbMATH Keywords

generalized hypergeometric functionAskey-Wilson polynomialsAskey-Wilson difference operatorsHilbert space transformparameter shifts

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Exactly and quasi-solvable systems arising in quantum theory (81U15) Difference operators (39A70) Applications of functional analysis in quantum physics (46N50) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Basic hypergeometric functions (33D99)

Related Items

Quadratic transformations for a function that generalizes \(_{2}F_{1}\) and the Askey-Wilson polynomials ⋮ Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit ⋮ 3d \(\mathcal{N} = 2\) SO/USp adjoint SQCD: s-confinement and exact identities ⋮ The classical hyperbolic Askey-Wilson dynamics without bound states

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