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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Differentiation > Symbolic differentiation > With respect to a3





http://functions.wolfram.com/07.27.20.0017.01









  


  








Input Form





Derivative[{0, 0, n}, {0, 0}, 0][HypergeometricPFQ][ {Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] == Sum[((Pochhammer[Subscript[a, 1], k] Pochhammer[Subscript[a, 2], k])/ (Pochhammer[Subscript[b, 1], k] Pochhammer[Subscript[b, 2], k] k!)) D[Pochhammer[Subscript[a, 3], k], {Subscript[a, 3], n}] z^k, {k, 0, Infinity}] /; Abs[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