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ZernikeR




Mathematica Notation

Traditional Notation









Polynomials > ZernikeR[n,m,z] > Differentiation > Fractional integro-differentiation





http://functions.wolfram.com/05.18.20.0007.01









  


  








Input Form





D[ZernikeR[n, m, z], {z, \[Alpha]}] == Piecewise[{{(-1)^((n - m)/2) ((z^(m - \[Alpha]) Gamma[1 + (m + n)/2])/ (Gamma[1 + (n - m)/2] Gamma[1 + m - \[Alpha]])) HypergeometricPFQ[{-((n - m)/2), (m + 1)/2, 1 + m/2, 1 + (m + n)/2}, {1 + m, (1 + m - \[Alpha])/2, 1 + (m - \[Alpha])/2}, z^2], Element[(n - m)/2, Integers]}}, 0]








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