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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 at generic point z==z0 > For the function itself





http://functions.wolfram.com/06.06.06.0023.01









  


  










Input Form





Gamma[a, z] == Sum[(((-1)^(k - j) Pochhammer[1 - a, j])/(j! (k - j)!)) ((-1)^j (1/Subscript[z, 0])^(a Floor[Arg[z - Subscript[z, 0]]/(2 Pi)]) Subscript[z, 0]^(a Floor[Arg[z - Subscript[z, 0]]/(2 Pi)]) Gamma[a - j, Subscript[z, 0]] - ((2 I Pi Exp[(-a) Pi I])/Gamma[1 - a + j]) Floor[Arg[z - Subscript[z, 0]]/(2 Pi)] Floor[(Pi + Arg[Subscript[z, 0]])/(2 Pi)]) (z - Subscript[z, 0])^k, {k, 0, Infinity}, {j, 0, k}]










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)





2007-05-02





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