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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions with rational arguments





http://functions.wolfram.com/07.23.26.0020.01









  


  








Input Form





(1 - z)^(-1 + c) Hypergeometric2F1[a, b, c, (z - 1)/z] == Gamma[c] (MeijerG[{{}, {a + b, c}}, {{a, b}, {}}, z] - ((1 - z)^c MeijerG[{{a + b, c}, {}}, {{}, {a, b}}, z])/(-1 + z)^c) /; !IntervalMemberQ[Interval[{-Infinity, -1}], 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)





2001-10-29