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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 algebraic functions with squares in arguments





http://functions.wolfram.com/07.24.26.0047.01









  


  








Input Form





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