ZernikeR

ZernikeR[n,m,r]

gives the radial Zernike polynomial .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given when possible.
  • The Zernike polynomials are orthogonal with weight over the unit interval.
  • ZernikeR can be evaluated to arbitrary numerical precision.
  • ZernikeR automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Evaluate symbolically:

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Scope  (4)

Applications  (1)

Properties & Relations  (1)

See Also

BesselJ  JacobiP  SphericalHarmonicY  Hypergeometric2F1

Tutorials

Introduced in 2007
(6.0)