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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=-33/8





http://functions.wolfram.com/07.23.03.b4pl.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(33/8), 3/2, z] == (1/18409461) (4 (-2 (-2322127 - 38344906 z - 120308685 z^2 - 98525372 z^3 - 19157241 z^4 - 268250 z^5 + 5365 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[(-(-1 + z)) z]) ((167555 + 8640904 z + 40709057 z^2 + 12884314 z^3 - 44356987 z^4 - 17513708 z^5 - 541865 z^6 + 10730 z^7) 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