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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/01.03.21.0742.01









  


  










Input Form





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





© 1998-2014 Wolfram Research, Inc.