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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=1/8, b>=a > For fixed z and a=1/8, b=45/8





http://functions.wolfram.com/07.23.03.by6x.01









  


  








Input Form





Hypergeometric2F1[1/8, 45/8, 11/2, -z] == (1/(8746023 z^(9/2) (1 + z)^(1/8))) (1024 (4 Sqrt[z] (16 - 26 z + 39 z^2 - 64 z^3 + 2304 z^4) Cos[ArcTan[Sqrt[z]]/4] + (-256 + 336 z - 473 z^2 + 784 z^3 - 2304 z^4) 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