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variants of this functions
HermiteH






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HermiteH[nu,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function





http://functions.wolfram.com/07.01.21.0004.01









  


  










Input Form





Integrate[z^m HermiteH[\[Nu], a z], z] == 2^(-1 + \[Nu]) Pi z^(1 + m) (-((1/Gamma[-(\[Nu]/2)]) (a z Gamma[1 + m/2] HypergeometricPFQRegularized[ {1/2 - \[Nu]/2, 1 + m/2}, {3/2, 2 + m/2}, a^2 z^2])) + (1/Gamma[(1 - \[Nu])/2]) (Gamma[(1 + m)/2] HypergeometricPFQRegularized[ {-(\[Nu]/2), (1 + m)/2}, {1/2, (3 + m)/2}, a^2 z^2]))










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)





2001-10-29