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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 trigonometric functions > Involving exp and cos





http://functions.wolfram.com/06.28.21.0054.01









  


  










Input Form





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