Jun 2, 2023
Bessel Functions
Introduction Bessel functions, named after Friedrich Bessel, are canonical solutions to Bessel’s differential equation: $x^2y” + xy’ + (x^2 – n^2)y = 0$ This equation arises in many physical problems, including heat conduction, vibrations of circular membranes, and quantum mechanics. Bessel Functions of the First Kind The Bessel function of the first kind $J_n(x)$ is defined by the…
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