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variants of this functions
HermiteH






Mathematica Notation

Traditional Notation









Polynomials > HermiteH[n,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function





http://functions.wolfram.com/05.01.21.0007.01









  


  










Input Form





Integrate[HermiteH[n, z]/E^z^2, z] == 2^n Sqrt[Pi] ((z HypergeometricPFQ[{1/2 + n/2}, {3/2}, -z^2])/ Gamma[(1 - n)/2] + (-1 + HypergeometricPFQ[{n/2}, {1/2}, -z^2])/ (n Gamma[-(n/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





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