DLMF: Notations *

♦*♦A♦B♦C♦D♦E♦F♦G♦H♦J♦L♦M♦N♦P♦R♦S♦T♦U♦V♦

$\left(a\right)_{{n}}$: Pochhammer's symbol; §5.2(iii)
$(z-1)!=\Gamma\!\left(z\right)$: alternative notation; §5.1
(with $\Gamma\!\left(z\right)$ : Gamma function)
$(n|P)$: Jacobi symbol; §27.9
$(n|p)$: Legendre symbol; §27.9
$\left(a;q\right)_{{n}}$: $q$ -factorial; §5.18(i)

$\begin{pmatrix}j_{1}&j_{2}&j_{3}\\ m_{1}&m_{2}&m_{3}\end{pmatrix}$: $3j$ symbol; §34.2
$\left(j_{1}m_{1}j_{2}m_{2}|j_{1}m_{1}j_{3}-m_{3}\right)$: Clebsch-Gordon or Wigner coefficients; §34.1
$\begin{Bmatrix}j_{{1}}&j_{{2}}&j_{{3}}\\ l_{{1}}&l_{{2}}&l_{{3}}\end{Bmatrix}$: $6j$ symbol; §34.4
$\begin{Bmatrix}j_{{11}}&j_{{12}}&j_{{13}}\\ j_{{21}}&j_{{22}}&j_{{23}}\\ j_{{31}}&j_{{32}}&j_{{33}}\end{Bmatrix}$: $9j$ symbol; §34.6
$\sim$: asymptotically equal; §2.1(i)