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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 4 and fixed z > For fixed z and a=15/4, b>=a > For fixed z and a=15/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[15/4, 21/4, 5/2, -z] == (2 Sqrt[2] (z^2 (343 - 200 Sqrt[1 + z]) + 2 (-1 + Sqrt[1 + z]) + z^4 (-1 + 2 Sqrt[1 + z]) + z^3 (-189 + 46 Sqrt[1 + z]) + z (-47 + 46 Sqrt[1 + z])))/(663 z^(3/2) (1 + z)^(13/2) Sqrt[-1 + Sqrt[1 + z]])








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