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variants of this functions
Gamma




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[a,z] > Differentiation > Low-order differentiation > With respect to a





http://functions.wolfram.com/06.06.20.0002.01









  


  








Input Form





D[Gamma[a, z], {a, 2}] == (-((2 z^a)/a^3)) (HypergeometricPFQ[{a, a, a}, {1 + a, 1 + a, 1 + a}, -z] - a Log[z] HypergeometricPFQ[{a, a}, {1 + a, 1 + a}, -z]) + Gamma[a, z] Log[z]^2 + Gamma[a] (PolyGamma[a]^2 + PolyGamma[1, a] - Log[z]^2)








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