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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 power, exponential and trigonometric functions > Involving power, exp and sin





http://functions.wolfram.com/06.28.21.0062.01









  


  










Input Form





Integrate[(1/z) E^(b z^2) Sin[c z^2] Erfi[a z], z] == (-((I a z)/(2 Sqrt[Pi]))) ((1/Sqrt[(-(b - I c)) z^2]) Sum[(a^(2 k) Gamma[1/2 + k, (-(b - I c)) z^2])/ ((-b + I c)^k ((1 + 2 k) k!)), {k, 0, Infinity}] - (1/Sqrt[(-(b + I c)) z^2]) Sum[(a^(2 k) Gamma[1/2 + k, (-(b + I c)) z^2])/ ((-b - I c)^k ((1 + 2 k) k!)), {k, 0, Infinity}])










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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