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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=27/8, b>=a > For fixed z and a=27/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[27/8, 37/8, -(5/2), -z] == (1/(9280 (1 + z)^(21/2))) (-2 Sqrt[1 + z] (-4640 - 76676 z - 756987 z^2 - 10079965 z^3 + 52058858 z^4 - 35398086 z^5 + 3451633 z^6 + 33511 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-6960 - 116029 z - 1151619 z^2 - 44015772 z^3 + 139048570 z^4 - 78495333 z^5 + 6936777 z^6 + 67022 z^7) Sinh[(3 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