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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 algebraic arguments





http://functions.wolfram.com/07.24.26.0201.01









  


  








Input Form





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