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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 powers of 2F~1





http://functions.wolfram.com/07.24.26.0090.01









  


  








Input Form





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