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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 2F1with algebraic arguments





http://functions.wolfram.com/07.24.26.0165.01









  


  








Input Form





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