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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 products of 2F~1 with algebraic arguments





http://functions.wolfram.com/07.24.26.0131.01









  


  








Input Form





(1 + Sqrt[1 + z])^(3/2 + 2 a - 2 c) Hypergeometric2F1Regularized[a, 1/2 + a, c, (1 - Sqrt[1 + z])/2] Hypergeometric2F1Regularized[1 - a, 1/2 - a, 1/2 - 2 a + c, (1 - Sqrt[1 + z])/2] == (4^(-a + c - 1)/(Pi Gamma[-1 - 2 a + 2 c])) MeijerG[{{3/4 + a - c, 1 + a - c, 5/4 + a - c, 3/2 + a - c}, {}}, {{0}, {1 - c, 3/2 + 2 a - 2 c, 1/2 + 2 a - c}}, 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