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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/07.23.26.0024.01









  


  








Input Form





(1 + z)^(1 - a) Hypergeometric2F1[a, b, (1/2) (1 + a + b), z/(1 + z)] == ((2 Gamma[(1/2) (1 + a + b)])/(Gamma[a] Gamma[(1/2) (-1 + a - b)])) MeijerG[{{2 - a, (-(1/2)) (-1 + a), (1/2) (3 - a + b)}, {}}, {{0}, {(-(1/2)) (-3 + a), (1/2) (1 - a - b)}}, z] /; !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