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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=-17/4, b>=a > For fixed z and a=-17/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, 3/2, -z] == (Sqrt[2] (-1 + Sqrt[1 + z] + 256 z^5 (-1 + 2 Sqrt[1 + z]) + 40 z^2 (-7 + 10 Sqrt[1 + z]) + 64 z^4 (-11 + 20 Sqrt[1 + z]) + z (-41 + 50 Sqrt[1 + z]) + 16 z^3 (-43 + 70 Sqrt[1 + z])))/ (19 Sqrt[z] Sqrt[1 + z] 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