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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=-15/8, b>=a > For fixed z and a=-15/8, b=29/8





http://functions.wolfram.com/07.23.03.bp58.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 29/8, 11/2, -z] == (1/(5958381 z^(9/2) (1 + z)^(1/8))) (1024 (4 Sqrt[z] (-80 - 110 z + 36 z^2 - 31 z^3 + 1533 z^4 + 2112 z^5 + 768 z^6) Cos[ArcTan[Sqrt[z]]/4] + (1280 + 2160 z - 131 z^2 + 226 z^3 - 1011 z^4 - 1872 z^5 - 768 z^6) Sin[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