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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 squares in arguments





http://functions.wolfram.com/07.23.26.0045.01









  


  










Input Form





Hypergeometric2F1[a, b, 1 + b, (-Sqrt[z] + Sqrt[1 + z])/ (Sqrt[z] + Sqrt[1 + z])]/(Sqrt[z] + Sqrt[1 + z])^(2 b) == (b/(2^a Sqrt[Pi])) MeijerG[{{1 - b}, {1, 1 - a + b}}, {{0, (1 - a)/2, 1 - a/2}, {}}, 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