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variants of this functions
Gamma






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[a,z1,z2] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function





http://functions.wolfram.com/06.07.21.0004.01









  


  










Input Form





Integrate[z E^(a^2 z^2) Gamma[c, 0, (b + a z)^2], z] == (1/(2 a^2)) (E^(a^2 z^2) Gamma[c] - E^(a^2 z^2) Gamma[c, (b + a z)^2] + (2^(1 - 2 c) E^b^2 ((b + a z)^2)^c Gamma[2 c, 2 b (b + a z)])/ (b (b + a z))^(2 c))










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)





2001-10-29





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