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variants of this functions
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Representations through more general functions > Through Meijer G > Classical cases involving powers of 2F~1





http://functions.wolfram.com/07.24.26.0095.01









  


  










Input Form





Hypergeometric2F1Regularized[a, b, 1 + a - b, (-Sqrt[z] + Sqrt[1 + z])/ (Sqrt[z] + Sqrt[1 + z])]^2/(Sqrt[z] + Sqrt[1 + z])^(2 a) == (1/(4^b (Sqrt[Pi] Gamma[a] Gamma[1 + a - 2 b]))) MeijerG[{{1 - a}, {1 - b, 1 + a - 2 b}}, {{0, 1 - 2 b, 1/2 - 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