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variants of this functions
Gamma




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[a,z1,z2] > Series representations > Generalized power series > Expansions at {z1,z2}=={0,0} > For the function itself > Special cases





http://functions.wolfram.com/06.07.06.0007.01









  


  








Input Form





Gamma[-n, Subscript[z, 1], Subscript[z, 2]] == ((-1)^(n - 1)/n!) (Log[Subscript[z, 1]] - Log[Subscript[z, 2]]) + Sum[((-1)^k (Subscript[z, 2]^(k - n) - Subscript[z, 1]^(k - n)))/ ((k - n) k!), {k, 0, n - 1}] - (((-1)^n Subscript[z, 2])/(n + 1)!) HypergeometricPFQ[{1, 1}, {2, n + 2}, -Subscript[z, 2]] + (((-1)^n Subscript[z, 1])/(n + 1)!) HypergeometricPFQ[{1, 1}, {2, n + 2}, -Subscript[z, 1]] /; Element[n, Integers] && n >= 0








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