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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 and a power function > Involving erf and power





http://functions.wolfram.com/06.28.21.0136.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) Erf[a z] Erfi[a z], z] == ((4 a^2 z^(2 + \[Alpha]))/(Pi \[Alpha])) (HypergeometricPFQ[{1/2, 1}, {3/4, 5/4, 3/2}, (a^4 z^4)/4] - (2/(2 + \[Alpha])) HypergeometricPFQ[{1, 1/2 + \[Alpha]/4}, {3/4, 5/4, 3/2 + \[Alpha]/4}, (a^4 z^4)/4])








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