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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Differentiation > Low-order differentiation > With respect to b1





http://functions.wolfram.com/07.32.20.0004.01









  


  








Input Form





Derivative[{0, \[Ellipsis], 0}, {1, 0, \[Ellipsis], 0}, 0][ HypergeometricPFQRegularized][{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == (-z) Gamma[Subscript[b, 1]] Product[Subscript[a, j] HypergeometricPFQRegularized[{{1 + Subscript[a, 1], \[Ellipsis], 1 + Subscript[a, p]}, {1}, {1, Subscript[b, 1]}}, {{2, 1 + Subscript[b, 1], \[Ellipsis], 1 + Subscript[b, q]}, {}, {1 + Subscript[b, 1]}}, z, z], {j, 1, p}] - PolyGamma[Subscript[b, 1]] HypergeometricPFQRegularized[ {Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, 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