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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 logarithm and a power function > Involving log and power





http://functions.wolfram.com/06.28.21.0119.01









  


  










Input Form





Integrate[z^3 Log[b z] Erfi[a z], z] == (1/(400 a^5 Sqrt[Pi] z)) (8 a^6 z^6 HypergeometricPFQ[{5/2, 5/2}, {7/2, 7/2}, a^2 z^2] + 25 (Sqrt[(-a^2) z^2] (3 Sqrt[Pi] Log[z] + Gamma[5/2, (-a^2) z^2] (1 - 4 Log[b z])) + a^5 Sqrt[Pi] z^5 Erfi[a z] (-1 + 4 Log[b z])))










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