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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Differentiation > Low-order differentiation > With respect to b1





http://functions.wolfram.com/07.22.20.0003.01









  


  








Input Form





Derivative[{0}, {1, 0}, 0][HypergeometricPFQ][{Subscript[a, 1]}, {Subscript[b, 1], Subscript[b, 2]}, z] == -Sum[(Pochhammer[Subscript[a, 1], k] PolyGamma[k + Subscript[b, 1]] z^k)/ (Pochhammer[Subscript[b, 1], k] Pochhammer[Subscript[b, 2], k] k!), {k, 0, Infinity}] + PolyGamma[Subscript[b, 1]] HypergeometricPFQ[{Subscript[a, 1]}, {Subscript[b, 1], Subscript[b, 2]}, z]








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