DLMF: Notations N

♦*♦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♦

$\mathcal{N}$: winding number; (1.9.32)
$\cap$: intersection; Common Notations and Definitions
$\NatNumber$: set of all positive integers; Common Notations and Definitions
$\mathop{N\/}\nolimits\!\left(z\right)$: Airy modulus function; §9.8(i)
$N_{\nu}(z)=\mathop{Y_{{\nu}}\/}\nolimits\!\left(z\right)$: common alternative notation; §10.1
(with $\mathop{Y_{{\nu}}\/}\nolimits\!\left(z\right)$ : Bessel function of the second kind)
$\mathop{N_{{\nu}}\/}\nolimits\!\left(x\right)$: modulus of derivatives of Bessel functions; (10.18.2)
$N(n,k)$: Narayana number; (26.6.3)

$\nabla _{{x}}$: backward difference; ¶ ‣ §18.1(i)
$\mathop{\mathrm{nc}\/}\nolimits\left(z,k\right)$: Jacobian elliptic function; (22.2.5)
$\mathop{\mathrm{nd}\/}\nolimits\left(z,k\right)$: Jacobian elliptic function; (22.2.6)
$\mathrm{Ne}_{n}^{{(1,2)}}(z,q)=\sqrt{\tfrac{1}{2}\pi}g_{{\mathit{o},n}}(h){\mathop{\mathrm{se}_{{n}}\/}\nolimits^{{\prime}}}\!\left(0,q\right)\mathop{{\mathrm{Ms}^{{(3,4)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$: notation used by Arscott (1964b), McLachlan (1947); ¶ ‣ §28.1
(with $\mathop{\mathrm{se}_{{n}}\/}\nolimits\!\left(z,q\right)$ : Mathieu function and $\mathop{{\mathrm{Ms}^{{(j)}}_{{n}}}\/}\nolimits\!\left(z,h\right)$ : radial Mathieu function)
$\mathop{\mathrm{ns}\/}\nolimits\left(z,k\right)$: Jacobian elliptic function; (22.2.4)
$\mathop{\nu\/}\nolimits\!\left(n\right)$: number of distinct primes dividing $n$ ; §27.2(i)