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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=7/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 7/8, 11/2, z] == (1/(236379 z^(9/2))) (1024 (Sqrt[z] (64 - 280 z + 473 z^2 - 378 z^3 + 377 z^4) Cos[ArcSin[Sqrt[z]]/4] + ((-256 + 1296 z - 2641 z^2 + 2731 z^3 - 1507 z^4 + 377 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z]))








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