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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=33/8, b>=a > For fixed z and a=33/8, b=39/8





http://functions.wolfram.com/07.23.03.cc4j.01









  


  








Input Form





Hypergeometric2F1[33/8, 39/8, 1/2, -z] == (1/(60605 (1 + z)^(17/2))) (Sqrt[1 + z] (60605 - 1640476 z + 3890878 z^2 - 1404732 z^3 + 32045 z^4) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-1256141 + 10462572 z - 13410798 z^2 + 2953388 z^3 - 32045 z^4) 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