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ZernikeR






Mathematica Notation

Traditional Notation









Polynomials > ZernikeR[n,m,z] > Series representations > Generalized power series > Expansions at z==infinity





http://functions.wolfram.com/05.18.06.0008.01









  


  










Input Form





ZernikeR[n, m, z] \[Proportional] (((-1)^((n - m)/2) Cos[((n - m)/2) Pi] n!)/ (((1/2) (n - m))! ((m + n)/2)!)) z^n (1 + ((m - n) (m + n))/(4 n z^2) + ((m - n) (2 + m - n) (-2 + m + n) (m + n))/(32 (-1 + n) n z^4) + \[Ellipsis]) /; (Abs[z] -> Infinity) && Element[n, Integers] && n >= 0 && Element[m, Integers] && m >= 0 && n >= m










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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