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Historical Note

I have looked up the 1934 paper in Physica by Zernike. In the same issue is a paper by Van der Pol, for those of you who remember his oscillator. I cannot find any reference in Zernike's paper to the moments that bear his name. Mind you, its in German, so I may be mistaken. There are Bessel functions and Gamma functions galore, but not the Zernike basis. Since you can expand in more or less any old functions, using the functions given above can't do any harm, but since I haven't verified orthogonality in D2, I don't know that this is actually correct. You can do it for me, quite quickly.



Mike Alder
9/19/1997