Notations W

$\mathscr{W}$: Wronskian; §1.13(i)
$w\left(\NVar{z}\right)$: Faddeeva (or Faddeyeva) function; (7.2.3)
$W\left(\NVar{z}\right)$: Lambert $W$ -function; (4.13.1)
$W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)$: Whittaker confluent hypergeometric function; (13.14.3)
$\operatorname{Wm}\left(\NVar{x}\right)$: nonprincipal branch of Lambert $W$ -function; §4.13
$W_{\NVar{n}}\left(\NVar{x}\right)$: Chebyshev polynomial of the fourth kind; Table 18.3.1
$\operatorname{Wp}\left(\NVar{x}\right)$: principal branch of Lambert $W$ -function; §4.13

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