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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 and 2F1with linear arguments





http://functions.wolfram.com/07.24.26.0156.01









  


  








Input Form





Sqrt[1 + z] Hypergeometric2F1Regularized[a, b, a + b - 1/2, -z] Hypergeometric2F1[a - 1/2, b + 1/2, a + b - 1/2, -z] == ((2^(-3 + 2 a + 2 b) Gamma[-(1/2) + a + b])/(Sqrt[Pi] Gamma[-1 + 2 a] Gamma[2 b])) MeijerG[{{2 - 2 a, 1 - 2 b, 2 - a - b}, {}}, {{0}, {3/2 - a - b, 3 - 2 a - 2 b}}, 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