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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=-5/8, b>=a > For fixed z and a=-5/8, b=15/8





http://functions.wolfram.com/07.23.03.buo4.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 15/8, -(9/2), -z] == (1/(21504 (1 + z)^(43/8))) ((21504 + 103936 z + 195260 z^2 + 169547 z^3 + 49910 z^4 - 34937 z^5 - 11408 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (16128 + 75600 z + 135959 z^2 + 109606 z^3 + 24955 z^4 + 8556 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