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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Differentiation > Low-order differentiation > With respect to b2





http://functions.wolfram.com/07.25.20.0010.01









  


  








Input Form





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








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