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Zeros of Bessel functions of the first kind $J_\alpha$
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Numbers
$\alpha$
$n$
$n$th root of $J_\alpha$
INPUT{numbers.yaml} (not shown in preview)
Definition
The list contains the first positive zeros of Bessel functions of the first kind $J_\alpha$.
Parameters
$\alpha$
—   complex number
$n$
—   integer ($n \geq 1$)
Formulas
(1)
The $n$'th root of $J_{1/2}(x)$ equals $n\pi$.
This table currently restricts to the important special case $\alpha \in \frac{1}{2}\mathbb{Z}_{\geq 0}$.