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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 > Generalized cases involving 2F1with algebraic arguments





http://functions.wolfram.com/07.24.26.0251.01









  


  










Input Form





Hypergeometric2F1Regularized[a, 1 - a, c, (z - Sqrt[1 + z^2])/(2 z)] Hypergeometric2F1[a, 1 - a, 2 - c, (z - Sqrt[1 + z^2])/(2 z)] == ((Sin[a Pi] Gamma[2 - c])/Pi^(3/2)) MeijerG[{{1}, {c, 2 - c}}, {{a, 1 - a, 1/2}, {}}, z, 1/2] /; Re[z] > 0










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