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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=1/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 1/4, 3/2, -z] == (Sqrt[2] (-663 (-1 + Sqrt[1 + z]) + 56 z^5 (-1 + 2 Sqrt[1 + z]) + 4 z^4 (-86 + 165 Sqrt[1 + z]) + 3 z (-21 + 863 Sqrt[1 + z]) + z^3 (-901 + 1651 Sqrt[1 + z]) + z^2 (-1339 + 2339 Sqrt[1 + z])))/ (4389 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