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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/07.24.26.0040.01









  


  








Input Form





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