DLMF: Notations Z

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$\Integer$: set of all integers; Common Notations and Definitions
$\mathop{\mathscr{Z}_{{\nu}}\/}\nolimits\!\left(z\right)$: modified cylinder function; ¶ ‣ §10.25(ii)
$\mathop{Z_{{\kappa}}\/}\nolimits\!\left(\mathbf{T}\right)$: zonal polynomial; §35.4(i)
${z}^{{a}}$: power function; (4.2.26)
$\mathop{\mathrm{Z}\/}\nolimits\!\left(x|k\right)$: Jacobi’s zeta function; (22.16.32)
$\mathop{\zeta\/}\nolimits\!\left(s\right)$: Riemann zeta function; (25.2.1)

$\zeta _{x}(s)$: incomplete Riemann zeta function; (8.22.2)
$\mathop{\zeta\/}\nolimits\!\left(s,a\right)$: Hurwitz zeta function; (25.11.1)
$\mathop{\zeta\/}\nolimits\!\left(z|\mathbb{L}\right)$: Weierstrass zeta function; §23.1
$\mathop{\zeta\/}\nolimits\!\left(z\right)$ (= $\mathop{\zeta\/}\nolimits\!\left(z|\mathbb{L}\right)$ = $\mathop{\zeta\/}\nolimits\!\left(z;g_{2},g_{3}\right)$ ): Weierstrass zeta function; (23.2.5)
$\mathop{\zeta\/}\nolimits\!\left(z;g_{2},g_{3}\right)$: Weierstrass zeta function; §23.3(i)