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variants of this functions
Erf






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erf[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions and a power function > Involving cos and power





http://functions.wolfram.com/06.25.21.0046.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Cos[b z^2] Erf[a z], z] == ((a z^(1 + \[Alpha]))/(2 Sqrt[Pi])) (b^2 z^4)^((1/2) (-1 - \[Alpha])) ((-((-I) b z^2)^((1 + \[Alpha])/2)) Sum[(a^(2 k)/(((-I) b)^k ((1 + 2 k) k!))) Gamma[(\[Alpha] + 1)/2 + k, I b z^2], {k, 0, Infinity}] - (I b z^2)^((1 + \[Alpha])/2) Sum[(a^(2 k)/((I b)^k ((1 + 2 k) k!))) Gamma[(\[Alpha] + 1)/2 + 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