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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=-15/8, b>=a > For fixed z and a=-15/8, b=15/8





http://functions.wolfram.com/07.23.03.bov6.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 15/8, -(9/2), -z] == (1/(3072 (1 + z)^(9/2))) (4 Sqrt[1 + z] (768 + 2496 z + 2493 z^2 + 403 z^3 - 273 z^4 + 455 z^5 + 286 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (768 + 2736 z + 3171 z^2 + 910 z^3 - 325 z^4 + 2392 z^5 + 1144 z^6) 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