Equation (5) is zero-order

Bessel equation with imaginary argument, and its Laplace spatial solution is

29) is a classic form of the zero-order

Bessel equation whose solution is:

Another approach to solving (26), one that does not require that it be recognized as a Bessel equation, is to use an iterative numerical method.

Directly or indirectly all three of these quantities result from solving the Bessel equation (26), which, itself, is derived from the substitute equation (13), not from the fundamental, definition of a force-free current (12).

Tangential component of the AM magnetic field is described by inhomogeneous

Bessel equation [22], which right-hand part [F.

ik] mentioned above, one can find a Bessel-type equation for the magnetic component of the wave field similar to the modified

Bessel equation for the wave field in the plasma [13].

2]] refers to

Bessel equation, the singularity type [2/x]-[[l(l + 1)]/[x.

the

Bessel equation is LCO, LCN, or LP in different ranges of parameter v--it is easier to ask a user to input such parameter ranges manually and check them, rather than write an algorithm to determine the ranges automatically.

One of these yields the factor [Mathematical Expression Omitted], and the other is a

Bessel equation.

By using the separation of variables, the magnetic field equations in regions II, III and IV governed by the Laplace's equation can be decomposed into a Helmholtz equation and a

Bessel equation.

The general Fourier-Bessel Integral on [a,[infinity]), a [is greater than] 0, associated with the

Bessel equation of order 0 in Liouville Normal Form,

1] is the modified Struve functions [26] and appears as special solutions of inhomogeneous

Bessel equations.