Chebyshev Expansion of the Zernike Polynomials
Abstract
The even and odd Zernike Polynomials Rnm(x) can be expanded into sums of even and odd Chebyshev Polynomials Ti(x). This manuscript provides closed forms for the rational expansion coefficients cn,m,i for a set of small 0 <= n-m <= 6 and a holonomic five-term recurrence for these coefficients for all larger n.
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