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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/07.24.26.0217.01









  


  








Input Form





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