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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=-7/4, b>=a > For fixed z and a=-7/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 19/4, 9/2, -z] == -((8 Sqrt[2] (8 - 2112 z^6 - 8 Sqrt[1 + z] + z^2 (53 - 64 Sqrt[1 + z]) + 4 z (-4 + 5 Sqrt[1 + z]) + 48 z^5 (-101 + 22 Sqrt[1 + z]) + 7 z^3 (-61 + 66 Sqrt[1 + z]) + 24 z^4 (-135 + 68 Sqrt[1 + z])))/ (21879 z^(7/2) 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