Clebsch-Gordan Coefficients and Special Function Identities. II. The Rotation and Lorentz Groups in 3-Space
- 1 June 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (6) , 827-833
- https://doi.org/10.1063/1.1666058
Abstract
It is shown that the construction of concrete models of Clebsch‐Gordan decompositions for tensor products of irreducible group representations leads to a wide variety of special function identities. In this paper the representation theory of the rotation and Lorentz groups in 3‐space is used to give elegant derivations of identities involving Languerre, Gegenbauer, hypergeometric, and generalized hypergeometric functions. Some of these identities may be new in this general form.Keywords
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