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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/07.24.20.0025.02









  


  








Input Form





D[((z - 1)^(a + b - c) Hypergeometric2F1Regularized[a, b, c, 1/z])/z^a, {z, n}] == ((-1)^n Pochhammer[c - b, n] (z - 1)^(a + b - c - n) Hypergeometric2F1Regularized[a, b - n, c, 1/z])/z^a /; 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