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Erfc




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erfc[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power





http://functions.wolfram.com/06.27.21.0020.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) E^(a^2 z^2) Erfc[a z], z] == (-(1/2)) z^\[Alpha] (ExpIntegralE[1 - \[Alpha]/2, (-a^2) z^2] + a z Gamma[(1 + \[Alpha])/2] HypergeometricPFQRegularized[ {1, (1 + \[Alpha])/2}, {3/2, (3 + \[Alpha])/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