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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=5/4





http://functions.wolfram.com/07.23.03.aak1.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 5/4, -(11/2), -z] == (Sqrt[z] (-140 z^5 + z^2 (266 - 546 Sqrt[1 + z]) + 2464 (1 + Sqrt[1 + z]) + 560 z^6 (-1 + 2 Sqrt[1 + z]) + 112 z (31 + 20 Sqrt[1 + z]) - 5 z^4 (-25 + 22 Sqrt[1 + z]) + 3 z^3 (-51 + 82 Sqrt[1 + z])))/ (4928 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