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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 z





http://functions.wolfram.com/07.27.20.0022.01









  


  










Input Form





D[z^\[Alpha] HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z], {z, n}] == (-1)^n Pochhammer[-\[Alpha], n] z^(\[Alpha] - n) HypergeometricPFQ[{\[Alpha] + 1, Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {\[Alpha] - n + 1, Subscript[b, 1], Subscript[b, 2]}, z] /; 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





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