# Notations J

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