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variants of this functions
HermiteH




Mathematica Notation

Traditional Notation









Polynomials > HermiteH[n,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/05.01.20.0006.02









  


  








Input Form





D[HermiteH[n, z], {z, m}] == ((2^(m + n) Pi)/(z^m Gamma[(1 - n)/2])) HypergeometricPFQRegularized[{1, -(n/2)}, {(1 - m)/2, 1 - m/2}, z^2] - ((2^(m + n) Pi z^(1 - m))/Gamma[-(n/2)]) HypergeometricPFQRegularized[ {1, (1 - n)/2}, {1 - m/2, (3 - m)/2}, z^2] /; Element[m, Integers] && m >= 0








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