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Erfc






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/06.27.21.0039.01









  


  










Input Form





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





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