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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 > Generalized cases involving algebraic functions with squares in arguments





http://functions.wolfram.com/07.23.26.0218.01









  


  








Input Form





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