The 6- j symbol (the Racah coefficient) is described in a form of linear combination of 3- j symbols (Clebsch-Gordan coefficients). Deduction is based on the quasi-spin formalism combined with the state operator formalism. The result is used to express the 9- j symbol, expanded usually in terms of three 6- j symbols, as a weighted sum over two 3- j symbols. The obtained expressions facilitate rapid evaluation of the 6- j and the 9- j symbols. An asymptotic expansion of the 9- j symbol is discussed.
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Masao Nomura (1989) studied this question.
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