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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 for products of 2F~1 with algebraic arguments





http://functions.wolfram.com/07.24.26.0231.01









  


  










Input Form





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





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