Bessel functions for integer , are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. Spherical Bessel functions with half-integer are obtained when the Helmholtz equation is solved in spherical coordinates. For teaching or presentation purposes it is always useful to show not only a figure but also an animation for clearer understanding.
Here is an animation of a Bessel function of the first kind and zeroth order:
The Gnuplot code that produces this animation is found here.
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Bessel Function
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