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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 39/8, 11/2, -z] == (1/(1811806161 z^(9/2))) (1024 (Sqrt[z] (2240 - 2360 z + 4547 z^2 - 14586 z^3 + 1896323 z^4 + 7064200 z^5 + 9848080 z^6 + 6139584 z^7 + 1444608 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((8960 - 3280 z + 10963 z^2 - 44711 z^3 + 465729 z^4 + 4524707 z^5 + 11311080 z^6 + 12737296 z^7 + 6861888 z^8 + 1444608 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