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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=-7/8, b>=a > For fixed z and a=-7/8, b=7/8





http://functions.wolfram.com/07.23.03.bt7z.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 7/8, -(9/2), -z] == (1/(9216 (1 + z)^(9/2))) (-2 Sqrt[1 + z] (-4608 - 17792 z - 24990 z^2 - 14221 z^3 - 1508 z^4 + 1131 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-2304 - 9616 z - 14969 z^2 - 10012 z^3 - 1885 z^4 + 2262 z^5) 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