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Erfi






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erfi[z] > Integration > Indefinite integration > Involving direct function and Gamma-, Beta-, Erf-type functions > Involving erf-type functions > Involving erfc





http://functions.wolfram.com/06.28.21.0132.01









  


  










Input Form





Integrate[Erfc[b z] Erfi[a z], z] == (a Erf[Sqrt[-a^2 + b^2] z])/(b Sqrt[-a^2 + b^2] Sqrt[Pi]) + Erfc[b z] (-(E^(a^2 z^2)/(a Sqrt[Pi])) + z Erfi[a z]) - ((a Erfi[a z])/E^(b^2 z^2) + (b^2 Erfi[Sqrt[a^2 - b^2] z])/Sqrt[a^2 - b^2])/ (a b Sqrt[Pi])










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