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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 element of parameters ||| With respect to element of parameters





http://functions.wolfram.com/07.27.20.0031.01









  


  










Input Form





D[HypergeometricPFQ[{a + 1, Subscript[a, 2], Subscript[a, 3]}, {a, Subscript[b, 2]}, z], {a, n}] == (((-1)^(n - 1) n!)/a^n) Hypergeometric2F1[Subscript[a, 2], Subscript[a, 3], Subscript[b, 2], z] + (((-1)^n n!)/a^(n + 1)) (a Hypergeometric2F1[Subscript[a, 2], Subscript[a, 3], Subscript[b, 2], z] + ((Subscript[a, 2] Subscript[a, 3])/Subscript[b, 2]) z Hypergeometric2F1[Subscript[a, 2] + 1, Subscript[a, 3] + 1, Subscript[b, 2] + 1, z]) /; Element[n, Integers] && n > 0










Standard Form





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MathML Form







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Rule Form





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2003-08-21





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