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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=-37/8, b>=a > For fixed z and a=-37/8, b=15/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 15/8, -(9/2), -z] == (1/(21504 (1 + z)^(11/8))) ((21504 - 17920 z + 17916 z^2 - 19425 z^3 + 23968 z^4 - 48384 z^5 - 135168 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (16128 - 15792 z + 16279 z^2 - 17724 z^3 + 21504 z^4 + 101376 z^5) Sin[(3 ArcTan[Sqrt[z]])/4])








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