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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=15/8





http://functions.wolfram.com/07.23.03.b599.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 15/8, 5/2, z] == (1/(567879543 z^(3/2))) (16 (Sqrt[z] (435643 + 37970191 z - 178213007 z^2 + 374454949 z^3 - 437130496 z^4 + 294492704 z^5 - 107676800 z^6 + 16612992 z^7) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (4 (-435643 - 2178215 z + 24672613 z^2 - 81363275 z^3 + 140572366 z^4 - 142988890 z^5 + 86563620 z^6 - 28995824 z^7 + 4153248 z^8) 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