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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Differentiation > Symbolic differentiation > With respect to element of parameters ||| With respect to element of parameters





http://functions.wolfram.com/07.23.20.0049.02









  


  








Input Form





D[Hypergeometric2F1[a, b, a + 1, z], {a, n}] == (((-1)^(n - 1) n! b z)/(1 + a)^(n + 1)) HypergeometricPFQ[ {Subscript[c, 1], \[Ellipsis], Subscript[c, n + 1], b + 1}, {Subscript[c, 1] + 1, \[Ellipsis], Subscript[c, n + 1] + 1}, z] /; Subscript[c, 1] == Subscript[c, 2] == \[Ellipsis] == Subscript[c, n + 1] == a + 1 && 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)





2003-08-21