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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.bfin.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) Cosh[ArcSinh[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) Sinh[ArcSinh[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