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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/07.32.20.0003.01









  


  










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] == -Sum[(PolyGamma[Subscript[b, 1] + k] Product[Pochhammer[Subscript[a, j], k], {j, 1, p}] z^k)/(k! Product[Gamma[Subscript[b, j] + k], {j, 1, q}]), {k, 0, Infinity}] /; (q == p - 1 && Abs[z] < 1) || q >= p










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





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