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





http://functions.wolfram.com/07.23.03.a8ne.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 9/4, 3/2, -z] == (Sqrt[2] (1989 (-1 + Sqrt[1 + z]) + 27456 z^6 (-1 + 2 Sqrt[1 + z]) + 528 z^5 (-261 + 496 Sqrt[1 + z]) + 24 z^4 (-11591 + 20740 Sqrt[1 + z]) + 5 z^2 (-29907 + 45157 Sqrt[1 + z]) + z (-35263 + 46286 Sqrt[1 + z]) + z^3 (-284093 + 472192 Sqrt[1 + z])))/(24035 Sqrt[z] 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