Bessel Function Zeros

Version 1.0.0.0 (1.58 KB) by Greg von Winckel
Computes the first k zeros of the Bessel Function of the 1st and 2nd Kinds.
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Updated 27 Jan 2005

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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.

Cite As

Greg von Winckel (2026). Bessel Function Zeros (https://nl.mathworks.com/matlabcentral/fileexchange/6794-bessel-function-zeros), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired: Bessel Zero Solver

Version Published Release Notes
1.0.0.0

The guess function has been improved so the script is more robust. Also I have added bessel functions of the second kind.