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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 the direct function and a power function > Involving products of two direct functions and a power function > Involving zalpha-1ad z hc z+g





http://functions.wolfram.com/01.03.21.0562.01









  


  










Input Form





Integrate[z^(n + 1/2) a^(d z) h^(c z + g), z] == (-h^g) z^(3/2 + n) ((-z) (d Log[a] + c Log[h]))^(-(3/2) - n) (Erfc[Sqrt[(-z) (d Log[a] + c Log[h])]] Gamma[3/2 + n] + a^(d z) h^(c z) Sum[((-z) (d Log[a] + c Log[h]))^(1/2 + k)/ Pochhammer[3/2 + n, k - n], {k, 0, n}] - a^(d z) h^(c z) Sum[((-z) (d Log[a] + c Log[h]))^(1/2 + k)/ Pochhammer[3/2 + n, k - n], {k, 1 + n, -1}]) /; 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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