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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function > Involving power > Involving zalpha-1and arguments a zr





http://functions.wolfram.com/01.03.21.0101.01









  


  










Input Form





Integrate[z^(2 n) E^(a z^2), z] == ((-(1/2)) z (E^(a z^2) Sum[((-a) z^2)^(k + 1/2)/Pochhammer[1/2 + n, -n + k + 1], {k, 0, n - 1}] - E^(a z^2) Sum[((-a) z^2)^(k + 1/2)/Pochhammer[1/2 + n, -n + k + 1], {k, n, -1}] + Gamma[1/2 + n] Erfc[Sqrt[(-a) z^2]]))/ (((-a) z^2)^(1/2) (-a)^n) /; Element[n, Integers]










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)





2002-12-18





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