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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=1/8, b>=a > For fixed z and a=1/8, b=47/8





http://functions.wolfram.com/07.23.03.by8i.01









  


  










Input Form





Hypergeometric2F1[1/8, 47/8, 7/2, -z] == (1/(64883 z^(5/2))) (64 ((2 Sqrt[z] (2 - 7 z + 553 z^2 + 1120 z^3 + 560 z^4) Cosh[ArcSinh[Sqrt[z]]/4])/(1 + z)^2 - ((16 - 45 z + 329 z^2 + 2086 z^3 + 2800 z^4 + 1120 z^5) Sinh[ArcSinh[Sqrt[z]]/4])/(1 + z)^(5/2)))










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