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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/07.24.26.0049.01









  


  








Input Form





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