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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/07.24.26.0044.01









  


  








Input Form





(Sqrt[z] + Sqrt[1 + z])^(1 - c - b) Hypergeometric2F1Regularized[1, b, c, (-Sqrt[z] + Sqrt[1 + z])/(Sqrt[z] + Sqrt[1 + z])] == (1/(2 Sqrt[Pi] Gamma[c - 1])) MeijerG[{{(3 - b - c)/2}, {(1 - b + c)/2, (b + c - 1)/2}}, {{0, 1/2, (c - b - 1)/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