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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 trigonometric functions > Involving cos





http://functions.wolfram.com/06.28.21.0030.01









  


  










Input Form





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