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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/07.24.26.0249.01









  


  








Input Form





Hypergeometric2F1Regularized[a, 1/2 + a, c, (z - Sqrt[1 + z^2])/(2 z)] Hypergeometric2F1[a, 1/2 + a, 3/2 + 2 a - c, (z - Sqrt[1 + z^2])/(2 z)] == ((2^(-(3/2) + 4 a) Gamma[3/2 + 2 a - c])/(Pi Gamma[2 a])) MeijerG[{{1}, {c, 1/2 + 2 a, 3/2 + 2 a - c}}, {{a, 1/4 + a, 1/2 + a, 3/4 + a}, {}}, 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