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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=47/8





http://functions.wolfram.com/07.23.03.by88.01









  


  








Input Form





Hypergeometric2F1[1/8, 47/8, 1/2, z] == -((1/(9269 (1 - z)^(11/2))) (Sqrt[1 - z] (-9269 + 38076 z - 71705 z^2 + 69410 z^3 - 33968 z^4 + 6688 z^5) Cos[ArcSin[Sqrt[z]]/4] + 2 Sqrt[z] (-11269 + 33557 z - 51291 z^2 + 42779 z^3 - 18656 z^4 + 3344 z^5) Sin[ArcSin[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