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





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 31/8, -(11/2), z] == -((1/(946176 (1 - z)^(11/2))) (Sqrt[1 - z] (-946176 + 2177280 z - 626080 z^2 - 475579 z^3 - 551642 z^4 - 897611 z^5 - 3454880 z^6 + 12606880 z^7 - 11128832 z^8 + 3129984 z^9) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-59136 + 154560 z - 73801 z^2 - 30992 z^3 - 27443 z^4 - 43186 z^5 - 2140710 z^6 + 4445012 z^7 - 3173456 z^8 + 782496 z^9) 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