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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=9/4





http://functions.wolfram.com/07.23.03.aan9.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, -(9/2), -z] == (Sqrt[z] (-140 z (-1 + Sqrt[1 + z]) + 560 (1 + Sqrt[1 + z]) + 2464 z^6 (-1 + 2 Sqrt[1 + z]) + 5 z^2 (-25 + 3 Sqrt[1 + z]) - 14 z^4 (19 + 20 Sqrt[1 + z]) + 3 z^3 (51 + 31 Sqrt[1 + z]) + 112 z^5 (-31 + 51 Sqrt[1 + z])))/(1120 Sqrt[2] (1 + z)^(5/2) 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