Zernike radial polynomials via Prata modified method

This function returns Zernike radial polynomials up to order n. This is the fastest method ever.

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This function returns Zernike radial polynomials up to order n. That said, if one needs certain orders, or, certain repetitions, then, other methods are more appropriate.
This method has an overflow at an order more than 70. This result to appear soon in our work:
Title: NUMERICAL-STABILITY QUALITY FACTOR FOR ORTHOGONAL POLYNOMIALS: ZERNIKE
RADIAL POLYNOMIALS CASE STUDY

in Applied Numerical Mathematics

Cite As

Mohammed Sadeq Al-Rawi (2026). Zernike radial polynomials via Prata modified method (https://www.mathworks.com/matlabcentral/fileexchange/37517-zernike-radial-polynomials-via-prata-modified-method), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: Fast computation of Zernike Radial Polynomials

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0