Notations L

$\mathbb{L}$: lattice in $\mathbb{C}$ ; §23.2(i)
$L_{\NVar{n}}$: Lebesgue constant; (1.8.8)
$L^{2}\left(\NVar{X},\NVar{\,\mathrm{d}x}\right)$: Lebesgue–Stieltjes measurable, square integrable, complex-valued functions; §1.18(ii)
$L_{\NVar{n}}\left(\NVar{x}\right)=L^{(0)}_{n}\left(x\right)$: Laguerre polynomial; §18.1(ii)
(with $L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}\right)$ : Laguerre (or generalized Laguerre) polynomial)
$L^{(\NVar{\gamma})}_{\NVar{\nu}}\left(\NVar{\mathbf{T}}\right)$: Laguerre function of matrix argument; (35.6.3)
$\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)$: modified Struve function; (11.2.2)
$L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}\right)$: Laguerre (or generalized Laguerre) polynomial; Table 18.3.1
$\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}\right)$: Laplace transform; (1.14.17)
$L\left(\NVar{s},\NVar{\chi}\right)$: Dirichlet $L$ -function; (25.15.1)
$\hat{L}^{(\NVar{k})}_{\NVar{n}}\left(\NVar{x}\right)$: exceptional Laguerre polynomial; (18.36.4)
$L_{c\NVar{\nu}}^{(\NVar{2m})}(\NVar{\psi},{\NVar{k^{\prime}}}^{2})=(-1)^{m}% \mathit{Ec}^{2m}_{\nu}\left(z,k^{2}\right)$: notation used by Jansen (1977); §29.1
(with $\mathit{Ec}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},\NVar{k^{2}}\right)$ : Lamé function)
$L_{c\NVar{\nu}}^{(\NVar{2m+1})}(\NVar{\psi},{\NVar{k^{\prime}}}^{2})=(-1)^{m}% \mathit{Es}^{2m+1}_{\nu}\left(z,k^{2}\right)$: notation used by Jansen (1977); §29.1
(with $\mathit{Es}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},\NVar{k^{2}}\right)$ : Lamé function)
$L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x};\NVar{q}\right)$: $q$ -Laguerre polynomial; (18.27.15)
$L_{s\NVar{\nu}}^{(\NVar{2m+1})}(\NVar{\psi},{\NVar{k^{\prime}}}^{2})=(-1)^{m}% \mathit{Ec}^{2m+1}_{\nu}\left(z,k^{2}\right)$: notation used by Jansen (1977); §29.1
(with $\mathit{Ec}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},\NVar{k^{2}}\right)$ : Lamé function)
$L_{s\NVar{\nu}}^{(\NVar{2m+2})}(\NVar{\psi},{\NVar{k^{\prime}}}^{2})=(-1)^{m}% \mathit{Es}^{2m+2}_{\nu}\left(z,k^{2}\right)$: notation used by Jansen (1977); §29.1
(with $\mathit{Es}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},\NVar{k^{2}}\right)$ : Lamé function)

$\lambda\left(\NVar{n}\right)$: Liouville’s function; (27.2.13)
$\Lambda\left(\NVar{n}\right)$: Mangoldt’s function; (27.2.14)
$\lambda_{\NVar{mn}}(\NVar{\gamma})=\lambda^{m}_{n}\left(\gamma^{2}\right)+% \gamma^{2}$: alternative notation for eigenvalues of the spheroidal differential equation; §30.1
(with $\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2}}\right)$ : eigenvalues of the spheroidal differential equation)
$\lambda_{\NVar{\nu+2n}}\left(\NVar{q}\right)$: eigenvalues of Mathieu equation; §28.12(i)
$\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2}}\right)$: eigenvalues of the spheroidal differential equation; §30.3(i)
$\lambda\left(\NVar{\tau}\right)$: elliptic modular function; (23.15.6)
$\operatorname{li}\left(\NVar{x}\right)$: logarithmic integral; (6.2.8)
$\operatorname{Li}_{2}\left(\NVar{z}\right)$: dilogarithm; (25.12.1)
$\operatorname{Li}_{\NVar{s}}\left(\NVar{z}\right)$: polylogarithm; (25.12.10)
$\liminf$: least limit point; Common Notations and Definitions
$\operatorname{Ln}\NVar{z}$: general logarithm function; (4.2.1)
$\ln\NVar{z}$: principal branch of logarithm function; (4.2.2)
$\operatorname{log}_{10}\NVar{z}$: common logarithm; §4.2(ii)
$\operatorname{log}_{\NVar{a}}\NVar{z}$: logarithm to general base; §4.2(ii)

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