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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=-9/4, b>=a > For fixed z and a=-9/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, 7/2, -z] == (4 Sqrt[2] (z (97 - 103 Sqrt[1 + z]) + 12 (-1 + Sqrt[1 + z]) + 9152 z^5 (-1 + 2 Sqrt[1 + z]) + 176 z^4 (-105 + 184 Sqrt[1 + z]) + z^2 (-1403 + 1456 Sqrt[1 + z]) + 8 z^3 (-1355 + 1984 Sqrt[1 + z])))/ (46189 z^(5/2) 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