# Notations J

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$\mathop{j_{\NVar{\nu},\NVar{m}}\/}\nolimits$
zeros of the Bessel function $\mathop{J_{\nu}\/}\nolimits\!\left(x\right)$; §10.21(i)
$\mathop{{j^{\prime}_{\NVar{\nu},\NVar{m}}}\/}\nolimits$
zeros of the Bessel function derivative $\mathop{J_{\nu}\/}\nolimits'\!\left(x\right)$; §10.21(i)
$\mathop{J\/}\nolimits\!\left(\NVar{\tau}\right)$
Klein’s complete invariant; 23.15.7
$\mathop{J_{\NVar{k}}\/}\nolimits\!\left(\NVar{n}\right)$
Jordan’s function; 27.2.11
$j_{\NVar{n}}(\NVar{z})=\mathop{\mathsf{j}_{n}\/}\nolimits\!\left(z\right)$
notation used by Abramowitz and Stegun (1964); §10.1
$\mathop{\mathsf{j}_{\NVar{n}}\/}\nolimits\!\left(\NVar{z}\right)$
spherical Bessel function of the first kind; 10.47.3
$\mathcal{J}_{\NVar{\nu+\frac{1}{2}(m+1)}}(\NVar{\mathbf{T}})=\mathop{A_{\nu}\/% }\nolimits\!\left(\mathbf{T}\right)/\mathop{A_{\nu}\/}\nolimits\!\left(% \boldsymbol{{0}}\right)$
notation used by Faraut and Korányi (1994, pp. 320–329); §35.1
$\mathop{\widetilde{J}_{\NVar{\nu}}\/}\nolimits\!\left(\NVar{x}\right)$
Bessel function of imaginary order; 10.24.2
$\mathop{\mathbf{J}_{\NVar{\nu}}\/}\nolimits\!\left(\NVar{z}\right)$
Anger function; 11.10.1
$\mathop{J_{\NVar{\nu}}\/}\nolimits\!\left(\NVar{z}\right)$
Bessel function of the first kind; 10.2.2
$\mathrm{jn}_{\NVar{n}}(\NVar{z},\NVar{q})=\mathop{\mathrm{ge}_{n}\/}\nolimits% \!\left(z,q\right)$
notation used by Campbell (1955); §28.1
$\mathrm{jnh}_{\NVar{n}}(\NVar{z},\NVar{q})=\mathop{\mathrm{Ge}_{n}\/}\nolimits% \!\left(z,q\right)$
notation used by Campbell (1955); §28.1