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





http://functions.wolfram.com/07.23.03.b671.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(35/8), -(3/2), -z] == (1/(1360 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-1360 - 22695 z - 354450 z^2 + 4055134 z^3 - 4373328 z^4 + 618849 z^5 + 8778 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-510 - 8585 z + 1300781 z^2 - 586250 z^3 - 1587876 z^4 + 311619 z^5 + 4389 z^6) 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