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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/07.24.26.0233.01









  


  








Input Form





Hypergeometric2F1Regularized[a, b, (1 + a + b)/2, (z - Sqrt[1 + z^2])/(2 z)] Hypergeometric2F1Regularized[1 - a, 1 - b, (3 - a - b)/2, (z - Sqrt[1 + z^2])/(2 z)] == (1/Pi^(3/2)) Cos[(1/2) (a - b) Pi] MeijerG[{{1}, {(1 + a + b)/2, (1/2) (3 - a - b)}}, {{1/2, (1/2) (1 + a - b), (1/2) (1 - a + b)}, {}}, 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