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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=13/4





http://functions.wolfram.com/07.23.03.aar6.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, 5/2, -z] == (2 Sqrt[2] (-442 (-1 + Sqrt[1 + z]) + 64064 z^6 (-1 + 2 Sqrt[1 + z]) + 221 z (-39 + 40 Sqrt[1 + z]) + 1232 z^5 (-215 + 404 Sqrt[1 + z]) + 56 z^4 (-7497 + 13058 Sqrt[1 + z]) + 2 z^2 (-50384 + 69177 Sqrt[1 + z]) + 7 z^3 (-44389 + 70120 Sqrt[1 + z])))/(168245 z^(3/2) 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