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variants of this functions
Gamma






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[z] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/06.05.06.0011.01









  


  










Input Form





Gamma[z] \[Proportional] (Sqrt[2 Pi] z^(z - 1/2) (1 + 1/(12 z) + 1/(288 z^2) - 139/(51840 z^3) - 571/(2488320 z^4) + 163879/(209018880 z^5) + 5246819/(75246796800 z^6) - 534703531/(902961561600 z^7) - 4483131259/(86684309913600 z^8) + 432261921612371/(514904800886784000 z^9) + O[1/z^10]))/E^z /; Abs[Arg[z]] < Pi && (Abs[z] -> Infinity)










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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