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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=-39/8, b>=a > For fixed z and a=-39/8, b=13/8





http://functions.wolfram.com/07.23.03.ba7e.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 13/8, -(9/2), -z] == (1/(15360 (1 + z)^(9/8))) ((15360 - 10240 z + 10580 z^2 - 13377 z^3 + 21920 z^4 - 72960 z^5 - 135168 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (3840 - 3760 z + 4135 z^2 - 5108 z^3 + 7680 z^4 + 33792 z^5) 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