Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Evaluate the radial pseudo-Zernike polynomial
ResourceFunction["PseudoZernikeR"][n,m,r] gives the radial pseudo-Zernike polynomial . |
Evaluate numerically:
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Evaluate symbolically:
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Plot over a subset of the reals:
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Evaluate to high precision:
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The precision of the output tracks the precision of the input:
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Simple exact values are generated automatically:
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PseudoZernikeR threads elementwise over lists:
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Obtain the pseudo-Zernike polynomials from their generating function:
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Compare with the directly computed sequence:
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Verify an expression for the pseudo-Zernike polynomial in terms of the Jacobi polynomial JacobiP:
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Verify a recurrence relation for the pseudo-Zernike polynomials:
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Verify the orthogonality relation for the pseudo-Zernike polynomials:
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Visualize pseudo-Zernike polynomials over the unit disk:
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