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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 8 and fixed z and a<0 > For fixed z and a=-23/8, b>=a > For fixed z and a=-23/8, b=37/8





http://functions.wolfram.com/07.23.03.bkk3.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 37/8, 11/2, z] == (1/(10194789891 z^(9/2))) (512 ((1 + Sqrt[z])^(15/4) (206080 - 772800 Sqrt[z] + 1889680 z - 3721400 z^(3/2) + 6497661 z^2 - 10419920 z^(5/2) + 15873312 z^3 - 23184000 z^(7/2) + 34003200 z^4 - 39671808 z^(9/2) + 26357760 z^5 - 7028736 z^(11/2)) - (1 - Sqrt[z])^(15/4) (206080 + 772800 Sqrt[z] + 1889680 z + 3721400 z^(3/2) + 6497661 z^2 + 10419920 z^(5/2) + 15873312 z^3 + 23184000 z^(7/2) + 34003200 z^4 + 39671808 z^(9/2) + 26357760 z^5 + 7028736 z^(11/2))))








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