Notations Z

$\mathbb{Z}$: set of all integers; Common Notations and Definitions
${\NVar{z}}^{\NVar{a}}$: power function; (4.2.26)
$Z_{\NVar{\kappa}}\left(\NVar{\mathbf{T}}\right)$: zonal polynomial; §35.4(i)
$\mathscr{Z}_{\NVar{\nu}}\left(\NVar{z}\right)$: modified cylinder function; §10.25(ii)
$\mathrm{Z}\left(\NVar{x}|\NVar{k}\right)$: Jacobi’s zeta function; (22.16.32)

$\zeta\left(\NVar{s}\right)$: Riemann zeta function; (25.2.1)
$\zeta_{\NVar{x}}(\NVar{s})$: incomplete Riemann zeta function; (8.22.2)
$\zeta\left(\NVar{s},\NVar{a}\right)$: Hurwitz zeta function; (25.11.1)
$\zeta\left(\NVar{z}\right)$ (= $\zeta\left(z|\mathbb{L}\right)$ = $\zeta\left(z;g_{2},g_{3}\right)$ ): Weierstrass zeta function; (23.2.5)
$\zeta\left(\NVar{z};\NVar{g_{2}},\NVar{g_{3}}\right)$: Weierstrass zeta function; §23.3(i)