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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.aan5.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, -(11/2), -z] == (Sqrt[z] (z^2 (406 - 686 Sqrt[1 + z]) + z^4 (278 - 17 Sqrt[1 + z]) + 2464 (1 + Sqrt[1 + z]) + 2464 z^7 (-1 + 2 Sqrt[1 + z]) - 14 z^5 (29 + 20 Sqrt[1 + z]) + 112 z (36 + 25 Sqrt[1 + z]) + 112 z^6 (-36 + 61 Sqrt[1 + z]) + z^3 (-278 + 261 Sqrt[1 + z])))/ (4928 Sqrt[2] (1 + z)^(7/2) 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