This script uses Halley's method to compute the positive k zeros of the Bessel function of the first kind J(n,x) and second kind Y(n,x) where n is a positive number. The routine has been tested for up to k=100 and n=100.
Greg von Winckel (2024). Bessel Function Zeros (https://www.mathworks.com/matlabcentral/fileexchange/6794-bessel-function-zeros), MATLAB Central File Exchange. Retrieved .
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Inspired: Bessel Zero Solver
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The guess function has been improved so the script is more robust. Also I have added bessel functions of the second kind.