DLMF: Notations U

♦*♦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♦

$\cup$: union; Common Notations and Definitions
$U(x)=\sqrt{\pi}\mathop{\mathrm{Bi}\/}\nolimits\!\left(x\right)$: notation used by Fock (1945); §9.1
(with $\mathop{\mathrm{Bi}\/}\nolimits\!\left(z\right)$ : Airy function)
$\mathop{U_{{n}}\/}\nolimits\!\left(x\right)$: Chebyshev polynomial of the second kind; Table 18.3.1
$U_{m}(t)$: generalized Airy function; §9.13(i)
$\mathop{U^{{*}}_{{n}}\/}\nolimits\!\left(x\right)$: shifted Chebyshev polynomial of the second kind; Table 18.3.1

$\mathop{U\/}\nolimits\!\left(a,z\right)$: parabolic cylinder function; §12.2(i)
$\mathop{\mathsf{U}\/}\nolimits\!\left(x,t\right)$: Voigt function; (7.19.1)
$\mathop{\overline{U}\/}\nolimits\!\left(a,x\right)$: parabolic cylinder function; §12.2(vi)
$\mathop{U\/}\nolimits\!\left(a,b,z\right)$: Kummer confluent hypergeometric function; (13.2.6)
$\mathop{\mathit{uE}^{{m}}_{{2n}}\/}\nolimits\!\left(z,k^{2}\right)$: Lamé polynomial; (29.12.1)