dehorsley / specialzeros

Zeros of certain special functions

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Special Zeros — Zeros of Special Functions

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Matlab functions for the zeros of:

  • Cylinder functions (Linear combinations of Bessel functions), and their derivatives
  • Bessel function cross-products

Functions are fast (1e5 of roots per second on modern pc) and accurate (typically relative error of 1e-16).

Derivation an proofs can be found in:

Horsley, D.E. Numer. Math. (2017) 136: 679. https://doi.org/10.1007/s00211-016-0853-7

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Zeros of certain special functions


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