# Notations Q

*ABCDEFGHIJKLMNOP♦Q♦RSTUVWXYZ
$\Rational$
set of all rational numbers; Common Notations and Definitions
$Q(z)=\tfrac{1}{2}\mathop{\mathrm{erfc}\/}\nolimits\!\left(z/\sqrt{2}\right)$
alternative notation for the complementary error function; 7.1
$Q_{z}(a)=\mathop{\Gamma\/}\nolimits\!\left(a,z\right)$
notation used by Batchelder (1967, p. 63); 8.1
$\mathop{\mathsf{Q}_{\nu}\/}\nolimits\!\left(x\right)$: $\mathop{\mathsf{Q}^{\mu}_{\nu}\/}\nolimits\!\left(x\right)$ with $\mu=0$
; 14.1
$\mathop{\mathsf{Q}_{\nu}\/}\nolimits\!\left(x\right)$: $\mathop{\mathsf{Q}^{\mu}_{\nu}\/}\nolimits\!\left(x\right)$ with $\mu=0$
; 14.3(i)
$\mathop{Q_{n}\/}\nolimits\!\left(x;\alpha,\beta,N\right)$
Hahn polynomial; 18.19.1
$\mathop{Q_{\nu}\/}\nolimits\!\left(z\right)$: $\mathop{Q^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$ with $\mu=0$
; 14.1
$\mathop{Q_{\nu}\/}\nolimits\!\left(z\right)$: $\mathop{Q^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$ with $\mu=0$
; 14.21(i)
$\mathop{Q_{\nu}\/}\nolimits\!\left(z\right)$: $\mathop{Q^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$ with $\mu=0$
; 14.3(ii)
$\mathrm{Q}_{\nu}^{\mu}(x)=\mathop{\mathsf{Q}^{\mu}_{\nu}\/}\nolimits\!\left(x\right)$
notation used by Erdélyi et al. (1953a), Olver (1997b); 14.1
$\mathop{\mathsf{Q}^{\mu}_{\nu}\/}\nolimits\!\left(x\right)$
Ferrers function of the second kind; (14.3.2)
$\mathop{Q^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$
associated Legendre function of the second kind; 14.21(i)
$\mathop{Q^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$
associated Legendre function of the second kind; (14.3.7)
$Q_{\nu}^{\mu}(x)=\mathop{\mathsf{Q}^{\mu}_{\nu}\/}\nolimits\!\left(x\right)$
notation used by Magnus et al. (1966); 14.1
$\mathfrak{Q}_{\nu}^{\mu}(z)=\mathop{Q^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$
notation used by Magnus et al. (1966); 14.1
$\mathop{\boldsymbol{Q}^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$
Olver’s associated Legendre function; 14.21(i)
$\mathop{\boldsymbol{Q}^{\mu}_{\nu}\/}\nolimits\!\left(z\right)$
Olver’s associated Legendre function; (14.3.10)
$\mathop{\widehat{\mathsf{Q}}^{-\mu}_{-\frac{1}{2}+i\tau}\/}\nolimits\!\left(x\right)$
conical function; (14.20.2)
$\mathop{Q\/}\nolimits\!\left(a,z\right)$
normalized incomplete gamma function; (8.2.4)
$Q_{\ell}(\epsilon,r)=-(2\ell+1)!\mathop{h\/}\nolimits\!\left(\epsilon,\ell;r% \right)/(2^{\ell+1}A(\epsilon,\ell))$
notation used by Curtis (1964a); Curtis (1964a):
$\mathop{Q_{n}\/}\nolimits\!\left(x;a,b\,|\,q\right)$
Al-Salam–Chihara polynomial; (18.28.7)
$\mathop{Q_{n}\/}\nolimits\!\left(x;a,b\,|\,q^{-1}\right)$
$q^{-1}$-Al-Salam–Chihara polynomial; (18.28.9)
$\mathop{Q_{n}\/}\nolimits\!\left(x;\alpha,\beta,N;q\right)$
$q$-Hahn polynomial; (18.27.3)
$\mathop{\mathit{Qs}^{m}_{n}\/}\nolimits\!\left(z,\gamma^{2}\right)$
spheroidal wave function of complex argument; 30.6
$\mathrm{Qs}^{m}_{n}(z,\gamma^{2})=\mathop{\mathit{Qs}^{m}_{n}\/}\nolimits\!% \left(z,\gamma^{2}\right)$
notation used by Meixner and Schäfke (1954) for the spheroidal wave function of complex argument; 30.1
$\mathop{\mathsf{Qs}^{m}_{n}\/}\nolimits\!\left(x,\gamma^{2}\right)$
spheroidal wave function of the second kind; 30.5
$\mathrm{qs}^{m}_{n}(x,\gamma^{2})=\mathop{\mathsf{Qs}^{m}_{n}\/}\nolimits\!% \left(x,\gamma^{2}\right)$
notation used by Meixner and Schäfke (1954) for the spheroidal wave function of the second kind; 30.1