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





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 15/8, 1/2, -z] == (1/(255 (1 + z)^(3/8))) ((255 + 5823 z + 20460 z^2 + 24064 z^3 + 9216 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (2919 + 13091 z + 17040 z^2 + 6912 z^3) 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