ZernikeR[m + 2 k, m, z] == SeriesTerm[ (1 + w - Sqrt[1 + 2 w (1 - 2 z^2) + w^2])^m/ ((2 z w)^m Sqrt[1 + 2 w (1 - 2 z^2) + w^2]), {w, 0, k}] /; Element[m, Integers] && m >= 0 && Element[k, Integers] && k >= 0

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2007-05-02