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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=-5/8, b>=a > For fixed z and a=-5/8, b=45/8





http://functions.wolfram.com/07.23.03.bv9d.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 45/8, -(5/2), -z] == (1/(68672 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-68672 - 403448 z - 788655 z^2 + 578347 z^3 + 1765915 z^4 + 2091681 z^5 + 1353144 z^6 + 469200 z^7 + 68544 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-51504 - 310097 z - 630924 z^2 + 1267962 z^3 + 2669260 z^4 + 2713887 z^5 + 1579176 z^6 + 503472 z^7 + 68544 z^8) 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