Bessel function

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Bessel function

[′bes·əl ‚fəŋk·shən]
(mathematics)
A solution of the Bessel equation. Also known as cylindrical function. Symbolized Jn (z).
References in periodicals archive ?
Hankel function of the second kind is used for forward propagating (+z-axis) wave, and Hankel function of the first kind is used for reverse propagating (-z-axis) wave [14].
where the [h.sup.(1)'.sub.n] is the derivative of the spherical Hankel function of the first kind (see Chapter 10 in [1]).
[H.sup.(1).sub.0] (x) is the Hankel function of the first kind and zero order, [C.sub.1] is the integration contour along the banks of the cut of the function v = [square root of ([k.sup.2] - [w.sup.2])] that is a parallel line to the imaginary axis upwards from the branch point.
where [H.sup.(1).sub.0] = [J.sub.0] + i[Y.sub.0] is the Hankel function of the first kind and zero order (19, 20), [J.sub.0] and [Y.sub.0] are the corresponding Bessel functions of the first and second kind, and [beta] is the same as in Eq.