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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 > Involving sin





http://functions.wolfram.com/06.27.21.0027.01









  


  










Input Form





Integrate[Sin[b z^2] Erfc[a z], z] == (Sqrt[Pi/2] FresnelS[Sqrt[b] Sqrt[2/Pi] z])/Sqrt[b] + (1/(2 Sqrt[Pi] b)) (Sum[(a^(2 k + 1)/((I b)^k ((1 + 2 k) k!))) Gamma[1 + k, (-I) b z^2], {k, 0, Infinity}] + Sum[(a^(2 k + 1)/(((-I) b)^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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</mo> </mrow> </mrow> </mfrac> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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