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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-31/8, b>=a > For fixed z and a=-31/8, b=-19/8





http://functions.wolfram.com/07.23.03.besy.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(19/8), 11/2, z] == (1/(58263871809 z^(9/2))) (512 ((1 + Sqrt[z])^(47/4) (1792 - 21056 Sqrt[z] + 104752 z - 268840 z^(3/2) + 315887 z^2 - 26884 z^(5/2)) - (1 - Sqrt[z])^(47/4) (1792 + 21056 Sqrt[z] + 104752 z + 268840 z^(3/2) + 315887 z^2 + 26884 z^(5/2))))








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)





2007-05-02