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variants of this functions
Gamma






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[a,z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself





http://functions.wolfram.com/06.06.06.0026.01









  


  










Input Form





Gamma[a, z] \[Proportional] -((2 I Pi Floor[Arg[-x + z]/(2 Pi)])/(E^(I a Pi) Gamma[1 - a])) + E^(2 I a Pi Floor[Arg[-x + z]/(2 Pi)]) (Gamma[a, x] - (x^(-1 + a) (z - x))/E^x + ((1/2) x^(-2 + a) (1 - a + x) (z - x)^2)/ E^x + \[Ellipsis]) /; (z -> x) && Element[x, Reals] && x < 0










Standard Form





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MathML Form







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</ci> </apply> </apply> </apply> </apply> <apply> <and /> <apply> <ci> Rule </ci> <ci> z </ci> <ci> x </ci> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> <apply> <lt /> <ci> x </ci> <cn type='integer'> 0 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02