Continual addition theorems for Meyer and Mcdonald functions

DOI10.22405/2226-8383-2018-19-2-334-340zbMath1434.22004OpenAlexW4238785773MaRDI QIDQ5109655

Aleksandr Ivanovich Nizhnikov, Sergeĭ Aleksandrovich Mukhanov

Publication date: 13 May 2020

Published in: Chebyshevskii sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb658

zbMATH Keywords

group theoretical methodscontinual addition theoremsMeyer and McDonald functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• Clebsch-Gordan coefficients of the groups SO(p,1)
• Intertwining operators for semisimple groups
• The Addition Formula for Jacobi Polynomials and Spherical Harmonics
• The Reduction O(3,1)⊃O(2,1)⊃O(1,1)
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