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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 for products of 2F~1 with algebraic arguments





http://functions.wolfram.com/07.24.26.0118.01









  


  








Input Form





Hypergeometric2F1Regularized[a, 1 - a, c, (Sqrt[z] - Sqrt[1 + z])/ (2 Sqrt[z])] Hypergeometric2F1Regularized[a, 1 - a, 2 - c, (Sqrt[z] - Sqrt[1 + z])/(2 Sqrt[z])] == (Sin[a Pi]/Pi^(3/2)) MeijerG[{{1}, {c, 2 - c}}, {{a, 1 - a, 1/2}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], 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