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ZernikeR

ZernikeR[n, m, r]
gives the radial Zernike polynomial .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given when possible.
  • The Zernike polynomials are orthogonal with weight r over the unit interval.
  • ZernikeR can be evaluated to arbitrary numerical precision.
  • ZernikeR automatically threads over lists.
EXAMPLESCLOSE ALL
Basic Examples   (3)
Evaluate numerically:
Evaluate symbolically:
Evaluate numerically:
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Evaluate symbolically:
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Scope   (4)
Evaluate for complex arguments and parameters:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Simple exact values are generated automatically:
TraditionalForm formatting:
Applications   (1)
A function to convert a radial representation to a Cartesian one:
Visualize the combined effect of x-astigmatism and y-coma aberrations:
Properties & Relations   (1)
Obtain from a generating function:
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