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





http://functions.wolfram.com/07.23.03.b5sy.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, -(1/2), z] == (1 + 69 z - 2450 z^2 + 17472 z^3 - 47232 z^4 + 54016 z^5 - 22016 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/(4 Sqrt[1 - z])) (Sqrt[z] (-1 - 2216 z + 31192 z^2 - 142848 z^3 + 285952 z^4 - 260096 z^5 + 88064 z^6) 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