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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/07.24.26.0245.01









  


  








Input Form





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








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