New construction of 3nj-symbols

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Abstract
Polynomials, reducing the wavefunction of coupled momenta to products of single ones, are introduced and discussed. Composition of N such polynomials serves as a generating function for 3nj-coefficients of vector addition. For SU(1,1) the polynomials are calculated explicitly and a compact integral representation for 9j-coefficients is obtained as an example. The method is rather general and may be applied to other groups and to higher vector addition coefficients.

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