History of Clebsch-Gordan coefficients and Wigner $3j$ symbols

 Title: Clebsch-Gordan coefficients and Wigner $3j$ symbols Definition: The Clebsch-Gordan coefficient $\langle j_1m_1,j_2m_2\mid j_3m\rangle$-  is the coefficient of the uncoupled basis vector $|j_1,m_1\rangle\otimes|j_2,m_2\rangle$-  in the coupled state with total angular momentum $j_3$ and magnetic quantum number-  $m$. The Wigner $3j$ symbol is the same coupling coefficient in a symmetric normalisation.+  is the coefficient of the uncoupled state $(j_1,m_1)\otimes(j_2,m_2)$ in the coupled+  state $(j_3,m)$. The Wigner $3j$ symbol is the same coefficient in a symmetric normalisation. Parameters:   j1:

     url: https://dlmf.nist.gov/34.3#i   DLMF-relations:-    title: 'DLMF 34.3(vii): relations to Legendre polynomials and spherical harmonics'+    title: 'DLMF 34.3(vii): triple products and spherical harmonics'     url: https://dlmf.nist.gov/34.3#vii   Sage: