Fourier-Bessel series
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In mathematics, Fourier-Bessel series are a particular kind of infinite series expansion, based on the properties of orthogonal functions.
Because Bessel functions are orthogonal with respect to a weight function x on the interval [0, b] they can be expanded in a Fourier-Bessel series defined by:
where the coefficients are given by
or written out
Fourier-Bessel series are used in the solution to partial differential equations in other coordinate systems.
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