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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Differentiation > Low-order differentiation > With respect to element of parameters ||| With respect to element of parameters





http://functions.wolfram.com/07.24.20.0046.01









  


  








Input Form





D[Hypergeometric2F1Regularized[a, b, a + 1, z], a] == -(PolyGamma[1 + a]/Gamma[1 + a])/(1 - z)^b + n! z b (PolyGamma[1 + a] Hypergeometric2F1Regularized[a + 1, b + 1, a + 2, z] + Gamma[1 + a] HypergeometricPFQRegularized[{a + 1, a + 1, b + 1}, {a + 2, a + 2}, z])








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