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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=-23/8, b>=a > For fixed z and a=-23/8, b=31/8





http://functions.wolfram.com/07.23.03.bkf8.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 31/8, -(9/2), z] == -((1/(64512 (1 - z)^(11/2))) (Sqrt[1 - z] (-64512 + 164864 z - 59540 z^2 - 51779 z^3 - 74230 z^4 - 250107 z^5 + 797368 z^6 - 652080 z^7 + 173888 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-16128 + 46256 z - 25623 z^2 - 12519 z^3 - 14885 z^4 - 578149 z^5 + 1101672 z^6 - 739024 z^7 + 173888 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