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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=25/8, b>=a > For fixed z and a=25/8, b=47/8





http://functions.wolfram.com/07.23.03.ca01.01









  


  










Input Form





Hypergeometric2F1[25/8, 47/8, 9/2, -z] == (1/(1418157 z^(7/2) (1 + z)^(9/2))) (256 (Sqrt[z] Sqrt[1 + z] (880 + 3069 z + 3366 z^2 + 4845 z^3 + 1428 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - (3520 + 14696 z + 21615 z^2 + 5610 z^3 + 5559 z^4 + 1428 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