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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=-19/8





http://functions.wolfram.com/07.23.03.b6c7.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(19/8), -(7/2), -z] == (1/1792) ((1792 + 7344 z + 10479 z^2 + 4598 z^3 - 1881 z^4 - 5016 z^5 - 1672 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 4 Sqrt[z/(1 + z)] (-336 - 1426 z - 2135 z^2 - 1045 z^3 + 1045 z^4 + 1463 z^5 + 418 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