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variants of this functions
HermiteH




Mathematica Notation

Traditional Notation









Polynomials > HermiteH[n,z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/05.01.21.0019.01









  


  








Input Form





Integrate[(HermiteH[l, t] HermiteH[m, t] HermiteH[n, t])/E^t^2, {t, -Infinity, Infinity}] == (2^((1/2) (l + m + n)) l! m! n! Sqrt[Pi])/ (((1/2) (l + m - n))! ((1/2) (m + n - l))! ((1/2) (n + l - m))!) /; Element[(1/2) (l + m + n), Integers] && l + m >= n && m + n >= l && n + l >= m








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