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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=31/8, b>=a > For fixed z and a=31/8, b=43/8





http://functions.wolfram.com/07.23.03.cbn4.01









  


  










Input Form





Hypergeometric2F1[31/8, 43/8, 5/2, -z] == -((1/(5985 z^(3/2) (1 + z)^(47/8))) (16 (Sqrt[z] (7 - 210 z + 91 z^2 + 4 z^3) Cos[(7 ArcTan[Sqrt[z]])/4] - (4 + 91 z - 210 z^2 + 7 z^3) Sin[(7 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