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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 and a power function





http://functions.wolfram.com/05.01.21.0011.01









  


  








Input Form





Integrate[(z^(-2 + n) HermiteH[n, z])/E^z^2, z] == (1/Pi) (z^(-1 + n) (Gamma[1 - n/2] Gamma[-1 + n] Hypergeometric1F1[(1/2) (-1 + n), 1/2, -z^2] + z Gamma[1/2 - n/2] Gamma[n] Hypergeometric1F1[n/2, 3/2, -z^2]) Sin[Pi n])








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