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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 > Generalized cases involving algebraic functions with squares in arguments





http://functions.wolfram.com/07.24.26.0221.01









  


  








Input Form





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








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