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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 linear arguments





http://functions.wolfram.com/07.23.26.0019.01









  


  










Input Form





(1 - z)^(c - 1) Hypergeometric2F1[a, b, c, 1 - z] == Gamma[c] (MeijerG[{{}, {c - a, c - b}}, {{0, c - a - b}, {}}, z] + (1 - z)^(c - 1) (z - 1)^(1 - c) MeijerG[{{c - a, c - b}, {}}, {{}, {0, c - a - b}}, z]) /; !IntervalMemberQ[Interval[{-1, 0}], 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