Special Functions

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Clebsch-o-matic Has 3j, 6j, and 9j symbols!

Clebsch-Gordon Coefficients

Notation: (Condon-Shortly convention).
For fractional spins use, eg., "1/2".

Wigner (simplified) Rotation Matrices

Notation: d^(j)_{m n} (Rose convention).

Legendre Polynomials

Notation: P_l(x).

Associated Legendre Polynomials

Notation: P^m_l(x).

Hermite Polynomials

Notation: H_n(x).

Spherical Harmonics

Notation: Y_lm (fixed May 2002)

Associated Laguerre Polynomials

Notation: L^m_l(x).
NB: to get the Laguerre polynomial L_l(x), set m=0.

regular spherical Bessel Function

Notation: j_l(x).

irregular spherical Bessel Function

Notation: n_l(x).