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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=35/8, b>=a > For fixed z and a=35/8, b=45/8





http://functions.wolfram.com/07.23.03.ccp4.01









  


  








Input Form





Hypergeometric2F1[35/8, 45/8, 3/2, -z] == (1/795093) (4 (-((2 (-95721 + 690980 z - 712414 z^2 + 99636 z^3 + 1311 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4])/(1 + z)^8) + (1/(Sqrt[z] (1 + z)^(17/2))) ((9775 - 451494 z + 1978674 z^2 - 1621936 z^3 + 200583 z^4 + 2622 z^5) 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