Kalnins, Ernie G.2008-11-032008-11-031973-05Kalnins, E.G. (1973). Mixed basis matrix elements for the subgroup reductions of SO(2,1). Journal of Mathematical Physics, 14, 654.0022-2488https://hdl.handle.net/10289/1251By using the irreducible decomposition on the two-dimensional light cone, the mixed basis matrix elements for the three subgroup reductions of SO(2,1) are calculated. These matrix elements are calculated for the principal series only and can be expressed in terms of well-known special functions. As a consequence of appearing in this context, some new properties of these special functions are given.application/pdfenCopyright 1973 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspMathematicsJournal Article10.1063/1.1666374