DLMF: Notations R

♦*♦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♦

$\Real$: real line (excluding infinity); Common Notations and Definitions
$\realpart{}$: real part; (1.9.2)
$r(n)$: Schröder number; (26.6.4)
$\mathop{r_{{k}}\/}\nolimits\!\left(n\right)$: number of squares; §27.13(iv)
$\mathop{R^{{(\alpha)}}_{{m,n}}\/}\nolimits\!\left(z\right)$: disk polynomial; (18.37.1)
$\mathop{\rho _{{\mathrm{tp}}}\/}\nolimits\!\left(\eta,\ell\right)$: outer turning point for Coulomb radial functions; (33.2.2)
$\mathop{r_{{\mathrm{tp}}}\/}\nolimits\!\left(\epsilon,\ell\right)$: outer turning point for Coulomb functions; (33.14.3)
$\mathop{R_{{-a}}\/}\nolimits\!\left(b_{1},b_{2},\dots,b_{n};z_{1},z_{2},\dots,z_{n}\right)$: multivariate hypergeometric function; (19.16.9)
$\mathop{R_{{-a}}\/}\nolimits\!\left(\mathbf{b};\mathbf{z}\right)$: multivariate hypergeometric function; (19.16.9)
$R_{{mn}}^{{(j)}}(\gamma,z)=\mathop{S^{{m(j)}}_{{n}}\/}\nolimits\!\left(z,\gamma\right)$: alternative notation for the radial spheroidal wave function; ¶ ‣ §30.1
(with $\mathop{S^{{m(j)}}_{{n}}\/}\nolimits\!\left(z,\gamma\right)$ : radial spheroidal wave function)

$R(a;\mathbf{b};\mathbf{z})=\mathop{R_{{-a}}\/}\nolimits\!\left(\mathbf{b};\mathbf{z}\right)$: alternative notation; §19.16(ii)
(with $\mathop{R_{{-a}}\/}\nolimits\!\left(\mathbf{b};\mathbf{z}\right)$ : multivariate hypergeometric function)
$\mathop{R_{{n}}\/}\nolimits\!\left(x;\gamma,\delta,N\right)$: dual Hahn polynomial; Table 18.25.1
$\mathop{R_{{n}}\/}\nolimits\!\left(x;\alpha,\beta,\gamma,\delta\right)$: Racah polynomial; Table 18.25.1
$\mathop{R_{{n}}\/}\nolimits\!\left(x;\alpha,\beta,\gamma,\delta\,|\, q\right)$: $q$ -Racah polynomial; (18.28.19)
$\mathop{R_{C}\/}\nolimits\!\left(x,y\right)$: Carlson’s combination of inverse circular and inverse hyperbolic functions; (19.2.17)
$\mathop{R_{D}\/}\nolimits\!\left(x,y,z\right)$: elliptic integral symmetric in only two variables; (19.16.5)
$\Residue$: residue; §1.10(iii)
$\mathop{R_{F}\/}\nolimits\!\left(x,y,z\right)$: symmetric elliptic integral of first kind; (19.16.1)
$\mathop{R_{G}\/}\nolimits\!\left(x,y,z\right)$: symmetric elliptic integral of second kind; (19.16.3)
$\mathop{R_{J}\/}\nolimits\!\left(x,y,z,p\right)$: symmetric elliptic integral of third kind; (19.16.2)