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ParabolicCylinderD






Mathematica Notation

Traditional Notation









Hypergeometric Functions > ParabolicCylinderD[nu,z] > Differentiation > Low-order differentiation > With respect to nu





http://functions.wolfram.com/07.41.20.0006.01









  


  










Input Form





Derivative[1, 0][ParabolicCylinderD][2, z] == ((1/2) (-2 - (-1 + z^2) (EulerGamma + Log[2]) - E^(z^2/2) Sqrt[2 Pi] z Erfc[z/Sqrt[2]] + Pi (-1 + z^2) Erfi[z/Sqrt[2]] + z^2 (1 - z^2) HypergeometricPFQ[{1, 1}, {3/2, 2}, z^2/2]))/E^(z^2/4)










Standard Form





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MathML Form







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Rule Form





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Contributed by





Brychkov Yu.A. (2006)










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





2007-05-02





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