Fourier-Bessel series


Fourier-Bessel series

[‚fu̇r·ē‚ā ¦bes·əl ‚sir·ēz] (mathematics) For a function ƒ(x), the series whose m th term is am J0(jm x), where j1, j2, … are positive zeros of the Bessel function J0 arranged in ascending order, and am is the product of 2/ J12(jm ) and the integral over t from 0 to 1 of t ƒ(t) J0(jm t); J1 is a Bessel function.