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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of powers of the direct function and a power function > Involving product of power of the direct function, the direct function and a power function > Involving zneb zr(ec z)nu





http://functions.wolfram.com/01.03.21.0631.01









  


  










Input Form





Integrate[z^n E^(b z^2) (E^(c z))^\[Nu], z] == (-(1/(2 Sqrt[b]))) (((E^(c z))^\[Nu] Sum[2^(-n + q) b^(-(1/2) - n) ((-c) \[Nu])^(n - q) (2 b z + c \[Nu])^(1 + q) (-((2 b z + c \[Nu])^2/b))^((1/2) (-1 - q)) Binomial[n, q] Gamma[(1 + q)/2, -((2 b z + c \[Nu])^2/(4 b))], {q, 0, n}])/ E^((c \[Nu] (4 b z + c \[Nu]))/(4 b))) /; Element[n, Integers] && n >= 0










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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