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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=-11/4, b>=a > For fixed z and a=-11/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, 3/2, -z] == -((Sqrt[2] (-3840 z^5 + 17 (-1 + Sqrt[1 + z]) + 64 z^4 (-169 + 30 Sqrt[1 + z]) + 40 z^2 (-113 + 64 Sqrt[1 + z]) + 16 z^3 (-677 + 248 Sqrt[1 + z]) + z (-679 + 528 Sqrt[1 + z])))/ (285 Sqrt[z] (1 + z)^(3/2) 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