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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=23/8





http://functions.wolfram.com/07.23.03.b5da.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 23/8, -(11/2), z] == (1/(4730880 (1 - z)^(5/2))) (Sqrt[1 - z] (4730880 + 4919040 z + 5961760 z^2 + 8131915 z^3 + 13065833 z^4 + 28231720 z^5 + 138826160 z^6 - 545459904 z^7 + 343335168 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1182720 + 860160 z + 949060 z^2 + 1312355 z^3 + 2276417 z^4 + 5542680 z^5 + 368639216 z^6 - 717127488 z^7 + 343335168 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