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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=-3/8





http://functions.wolfram.com/07.23.03.b9zy.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(3/8), 5/2, z] == (1/(48125385 z^(3/2))) (8 ((1 + Sqrt[z])^(31/4) (-37076 + 287339 Sqrt[z] - 370760 z + 224240 z^(3/2) - 69440 z^2 + 8960 z^(5/2)) + (1 - Sqrt[z])^(31/4) (37076 + 287339 Sqrt[z] + 370760 z + 224240 z^(3/2) + 69440 z^2 + 8960 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