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variants of this functions
Gamma






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Gamma[a,z1,z2] > Differentiation > Low-order differentiation > With respect to a





http://functions.wolfram.com/06.07.20.0002.01









  


  










Input Form





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





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