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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=-39/8, b>=a > For fixed z and a=-39/8, b=47/8





http://functions.wolfram.com/07.23.03.bau1.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 47/8, 3/2, z] == (4/43) ((-(-11 + 220 z - 1232 z^2 + 2816 z^3 - 2816 z^4 + 1024 z^5)) Cos[ArcSin[Sqrt[z]]/4] - ((1 - 61 z + 620 z^2 - 2352 z^3 + 4096 z^4 - 3328 z^5 + 1024 z^6) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[(-(-1 + z)) 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