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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.aaqg.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, -(9/2), -z] == (Sqrt[z] (5040 (1 + Sqrt[1 + z]) + 64064 z^7 (-1 + 2 Sqrt[1 + z]) - 140 z (-11 + 7 Sqrt[1 + z]) - 5 z^2 (313 + 89 Sqrt[1 + z]) + 1232 z^6 (-133 + 240 Sqrt[1 + z]) - 21 z^4 (233 + 272 Sqrt[1 + z]) + z^3 (2258 + 2043 Sqrt[1 + z]) + 56 z^5 (-2033 + 3032 Sqrt[1 + z])))/ (10080 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