DLMF: Notations W

♦*♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦U♦V♦W♦X♦Y♦Z♦

$\mathop{\mathscr{W}\/}\nolimits$: Wronskian; (1.13.4)
$\mathop{W\/}\nolimits\!\left(x\right)$: Lambert $\mathop{W\/}\nolimits$ -function; (4.13.1)
$\mathop{w\/}\nolimits\!\left(z\right)$: complementary error function; (7.2.3)
$\mathop{W_{{n}}\/}\nolimits\!\left(x\right)$: Chebyshev polynomial of the fourth kind; Table 18.3.1
$\mathop{\mathrm{Wp}\/}\nolimits\!\left(x\right)$: principal branch of Lambert $\mathop{W\/}\nolimits$ -function; §4.13
$\mathop{\mathrm{Wm}\/}\nolimits\!\left(x\right)$: nonprincipal branch of Lambert $\mathop{W\/}\nolimits$ -function; §4.13
$\mathop{W_{{\kappa,\mu}}\/}\nolimits\!\left(z\right)$: Whittaker confluent hypergeometric function; (13.14.3)

$\mathop{W\/}\nolimits\!\left(a,x\right)$: parabolic cylinder function; §12.14(i)
$w_{{\mbox{\tiny I}}}(z,\lambda)$: basic solution, Hill’s equation; §28.29(ii)
$w_{{\mbox{\tiny II}}}(z,\lambda)$: basic solution, Hill’s equation; §28.29(ii)
$w_{{\mbox{\tiny I}}}(z;a,q)$: basic solution, Mathieu’s equation; §28.2(ii)
$w_{{\mbox{\tiny II}}}(z;a,q)$: basic solution, Mathieu’s equation; §28.2(ii)
$\mathop{W_{{n}}\/}\nolimits\!\left(x;a,b,c,d\right)$: Wilson polynomial; Table 18.25.1