Problem 1476. Radial Zernike polynomials

Yaroslav

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Given an integer n ≥ 0 and an integer m ≥ 0, generate the radial Zernike polynomial of radial degree n and azimuthal degree m. You may assume that mod(n-m,2)==0 and m ≤ n.

Examples:

 radialZernike(0,0)
 ans =
     1

 radialZernike(1,1)
 ans =
     1     0

 radialZernike(2,0)
 ans =
     2     0    -1

 radialZernike(2,2)
 ans =
     1     0     0

Neither string operations nor interpolations are allowed!

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Last Solution submitted on Apr 08, 2026

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