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ZernikeR

ZernikeR
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 over the unit interval.
  • ZernikeR can be evaluated to arbitrary numerical precision.
  • ZernikeR automatically threads over lists.
Evaluate numerically:
Evaluate symbolically:
Evaluate numerically:
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Evaluate symbolically:
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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:
A function to convert a radial representation to a Cartesian one:
Visualize the combined effect of -astigmatism and -coma aberrations:
Obtain from a generating function:
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