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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.b4ph.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(33/8), -(1/2), z] == (1/1596) (2 (798 - 38703 z - 610289 z^2 - 1165118 z^3 - 406412 z^4 - 8755 z^5 + 255 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (Sqrt[z] (399 + 158551 z + 435212 z^2 - 250306 z^3 - 326601 z^4 - 17765 z^5 + 510 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