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Erfi






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erfi[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/06.28.21.0025.01









  


  










Input Form





Integrate[z^3 E^(b z^2) Erfi[a z], z] == (1/(2 b^2)) ((a b z^3 (E^((a^2 + b) z^2) Sqrt[(-(a^2 + b)) z^2] - (1/2) Sqrt[Pi] (-1 + Erf[Sqrt[(-(a^2 + b)) z^2]])))/ (Sqrt[Pi] ((-(a^2 + b)) z^2)^(3/2)) + E^(b z^2) (-1 + b z^2) Erfi[a z] + (a Erfi[Sqrt[a^2 + b] z])/Sqrt[a^2 + b])










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





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