Abstract
The combinatorics of the boson operator formalism in the construction of the SU(n) states provides a natural scheme for the appearance of certain generalized hypergeometric functions. It is shown that, while special cases exist where the functions thus generated belong to the class of generalized hypergeometric functions defined by Gel'fand et al. as being the Radon transforms of products of linear forms, the general cases apparently do not. This is already so at the SU(4) level