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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/07.24.26.0159.01









  


  










Input Form





Sqrt[1 + z] Hypergeometric2F1Regularized[a, b, a + b - 1/2, -z] Hypergeometric2F1[1 - a, 1 - b, 5/2 - a - b, -z] == (1/Pi^(3/2)) Cos[(-a + b) Pi] Gamma[5/2 - a - b] MeijerG[{{1/2, 1/2 - a + b, 1/2 + a - b}, {}}, {{0}, {-(3/2) + a + b, 3/2 - 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