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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/07.23.26.0220.01









  


  










Input Form





(z + Sqrt[1 + z^2])^(1 - c - a) Hypergeometric2F1[a, 1, c, (-z + Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])] == ((c - 1)/(2 Sqrt[Pi])) MeijerG[{{(3 - a - c)/2}, {(1 - a + c)/2, (a + c - 1)/2}}, {{0, 1/2, (c - a - 1)/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