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1: 34.13 Methods of Computation
For 9 j symbols, methods include evaluation of the single-sum series (34.6.2), see Fang and Shriner (1992); evaluation of triple-sum series, see Varshalovich et al. (1988, §10.2.1) and Srinivasa Rao et al. (1989). …
2: 20.12 Mathematical Applications
For applications of Jacobi’s triple product (20.5.9) to Ramanujan’s τ ( n ) function and Euler’s pentagonal numbers see Hardy and Wright (1979, pp. 132–160) and McKean and Moll (1999, pp. 143–145). …
3: 20.4 Values at z = 0
Jacobi’s Identity
4: 34.6 Definition: 9 j Symbol
The 9 j symbol may also be written as a finite triple sum equivalent to a terminating generalized hypergeometric series of three variables with unit arguments. …
5: 17.8 Special Cases of ψ r r Functions
Jacobi’s Triple Product
6: 20.5 Infinite Products and Related Results
Jacobi’s Triple Product
7: Bibliography R
  • H. Rosengren (1999) Another proof of the triple sum formula for Wigner 9 j -symbols. J. Math. Phys. 40 (12), pp. 6689–6691.
  • 8: 22.4 Periods, Poles, and Zeros
    This half-period will be plus or minus a member of the triple K , i K , K + i K ; the other two members of this triple are quarter periods of p q ( z , k ) . …
    9: 1.5 Calculus of Two or More Variables
    Triple Integrals
    1.5.43 D f ( x , y , z ) d x d y d z = D * f ( x ( u , v , w ) , y ( u , v , w ) , z ( u , v , w ) ) | ( x , y , z ) ( u , v , w ) | d u d v d w .
    10: 1.6 Vectors and Vector-Valued Functions
    1.6.58 V ( F ) d V = S F d S ,
    1.6.60 V ( f 2 g - g 2 f ) d V = S ( f g n - g f n ) d A ,