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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=7/8





http://functions.wolfram.com/07.23.03.b549.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 7/8, -(7/2), z] == (1/256) ((256 + 368 z + 673 z^2 + 1675 z^3 + 9416 z^4 - 41040 z^5 + 27968 z^6) Cos[ArcSin[Sqrt[z]]/4] + (Sqrt[z] (64 + 72 z + 131 z^2 + 349 z^3 + 26440 z^4 - 55024 z^5 + 27968 z^6) 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