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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Differentiation > Symbolic differentiation > With respect to element of parameters ||| With respect to element of parameters





http://functions.wolfram.com/07.28.20.0037.01









  


  








Input Form





D[HypergeometricPFQ[{a + 1, Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {a, Subscript[b, 2], Subscript[b, 3]}, z], {a, n}] == (((-1)^(n - 1) n!)/a^n) HypergeometricPFQ[{Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 2], Subscript[b, 3]}, z] + (((-1)^n n!)/a^(n + 1)) (a HypergeometricPFQ[{Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 2], Subscript[b, 3]}, z] + ((Subscript[a, 2] Subscript[a, 3] Subscript[a, 4])/ (Subscript[b, 2] Subscript[b, 3])) z HypergeometricPFQ[ {Subscript[a, 2] + 1, Subscript[a, 3] + 1, Subscript[a, 4] + 1}, {Subscript[b, 2] + 1, Subscript[b, 3] + 1}, z]) /; Element[n, Integers] && n > 0








Standard Form





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Rule Form





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Date Added to functions.wolfram.com (modification date)





2003-08-21