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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=-39/8, b>=a > For fixed z and a=-39/8, b=5/8





http://functions.wolfram.com/07.23.03.ba3l.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 5/8, 5/2, z] == (1/(9625077 z^(3/2))) (8 ((1 + Sqrt[z])^(27/4) (-37076 + 250263 Sqrt[z] - 556140 z + 638064 z^(3/2) - 413952 z^2 + 145152 z^(5/2) - 21504 z^3) + (1 - Sqrt[z])^(27/4) (37076 + 250263 Sqrt[z] + 556140 z + 638064 z^(3/2) + 413952 z^2 + 145152 z^(5/2) + 21504 z^3)))








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