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ZernikeR




Mathematica Notation

Traditional Notation









Polynomials > ZernikeR[n,m,z] > Representations through more general functions > Through hypergeometric functions





http://functions.wolfram.com/05.18.26.0002.01









  


  








Input Form





ZernikeR[n, m, z] == Piecewise[ {{((z^n Gamma[1 + n])/(Gamma[1 - m/2 + n/2] Gamma[1 + m/2 + n/2])) Hypergeometric2F1[(m - n)/2, -((m + n)/2), -n, 1/z^2], Element[(n - m)/2, Integers]}}, 0] /; 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