Problem 1476. Radial Zernike polynomials

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!

Solve

Solution Stats

52.99% Correct | 47.01% Incorrect
Last Solution submitted on Nov 20, 2025

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polynomial

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