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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=-23/4, b>=a > For fixed z and a=-23/4, b=3/4





http://functions.wolfram.com/07.23.03.9504.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 3/4, -(11/2), -z] == (1/(2112 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (2112 z^6 + 1056 (1 + Sqrt[1 + z]) - 48 z (9 + 20 Sqrt[1 + z]) - 48 z^5 (7 + 22 Sqrt[1 + z]) + 40 z^4 (7 + 24 Sqrt[1 + z]) - z^3 (277 + 926 Sqrt[1 + z]) + z^2 (314 + 926 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