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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/07.24.26.0046.01









  


  








Input Form





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