Algebraic special functions and \(\mathrm{SO}(3,2)\)

DOI10.1016/j.aop.2013.02.010zbMath1284.33006arXiv1210.5192OpenAlexW3124602374MaRDI QIDQ2442874

Mariano A. del Olmo, Enrico Celeghini

Publication date: 1 April 2014

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

Full work available at URL: https://arxiv.org/abs/1210.5192

zbMATH Keywords

Lie algebraspecial functionsquare-integrable function

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Lie algebras of Lie groups (22E60) Spherical harmonics (33C55)

Related Items

Associated Legendre functions and spherical harmonics of fractional degree and order, Spherical harmonics and rigged Hilbert spaces, Groups, Jacobi functions, and rigged Hilbert spaces, Coherent orthogonal polynomials, Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials, Zernike functions, rigged Hilbert spaces, and potential applications, Jacobi Polynomials as su(2, 2) Unitary Irreducible Representation, Groups, special functions and rigged Hilbert spaces

Uses Software

• DLMF

Cites Work

• Lie theory and special functions
• Irreducible unitary representations of the Lorentz group
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Bases in L 2 Spaces with Applications to Stochastic Processes with Orthogonal Increments
• The Factorization Method
• An Essay Toward a Unified Theory of Special Functions. (AM-18)
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