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Pochhammer




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Pochhammer[a,n] > Differentiation > Symbolic differentiation > With respect to a





http://functions.wolfram.com/06.10.20.0006.02









  


  








Input Form





D[Pochhammer[a, n], {a, m}] == (((-1)^m m! Gamma[a + n]^(m + 1))/Gamma[-n]) HypergeometricPFQRegularized[{Subscript[a, 1], Subscript[a, 2], \[Ellipsis], Subscript[a, m + 1], 1 + n}, {1 + Subscript[a, 1], 1 + Subscript[a, 2], \[Ellipsis], 1 + Subscript[a, m + 1]}, 1] /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, m + 1] == a + n && Element[m, Integers] && m >= 0 && !(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