Notations V

$\mathcal{V}\left(\NVar{f}\right)$: total variation; (1.4.33)
$V(\NVar{x})=\sqrt{\pi}\operatorname{Ai}\left(x\right)$: notation used by Fock (1945); §9.1
(with $\operatorname{Ai}\left(\NVar{z}\right)$ : Airy function and $\pi$ : the ratio of the circumference of a circle to its diameter)
$\mathcal{V}_{\NVar{a,b}}\left(\NVar{f}\right)$: total variation; (1.4.33)
$V_{\NVar{m}}(\NVar{t})$: generalized Airy function; §9.13(i)
$\overline{V}_{\NVar{m}}(\NVar{t})$: generalized Airy function; §9.13(i)

$V_{\NVar{n}}\left(\NVar{x}\right)$: Chebyshev polynomial of the third kind; Table 18.3.1
$V\left(\NVar{a},\NVar{z}\right)$: parabolic cylinder function; §12.2(i)
$\mathsf{V}\left(\NVar{x},\NVar{t}\right)$: Voigt function; (7.19.2)
$V(\NVar{a},\NVar{b},\NVar{z})=e^{z}U\left(a,b,-z\right)$: notation used by Olver (1997b, p. 256); §13.1
(with $U\left(\NVar{a},\NVar{b},\NVar{z}\right)$ : Kummer confluent hypergeometric function and $\mathrm{e}$ : base of natural logarithm)

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