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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 powers of two direct functions and a power function > Involving zalpha-1(eb zr)mu (ec zr+g)nu





http://functions.wolfram.com/01.03.21.0740.01









  


  










Input Form





Integrate[z^(2 n + 1) (E^(b z^2))^\[Mu] (E^(c z^2 + g))^\[Nu], z] == ((-(1/2)) (E^(b z^2))^\[Mu] (E^(g + c z^2))^\[Nu] (-(b \[Mu] + c \[Nu]))^(-n - 1) (((-1)^n ExpIntegralEi[z^2 (b \[Mu] + c \[Nu])])/(-1 - n)! + E^(z^2 (b \[Mu] + c \[Nu])) Sum[((-z^2) (b \[Mu] + c \[Nu]))^j/ Pochhammer[1 + n, j - n], {j, 0, n}] - E^(z^2 (b \[Mu] + c \[Nu])) Sum[((-z^2) (b \[Mu] + c \[Nu]))^j/Pochhammer[1 + n, j - n], {j, 1 + n, -1}]))/E^(z^2 (b \[Mu] + c \[Nu])) /; 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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