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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=-23/8, b>=a > For fixed z and a=-23/8, b=-17/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), -(17/8), 9/2, -z] == -((1/(3384710901 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-368 - 5221 z - 42941 z^2 - 13677506 z^3 + 19654854 z^4 - 4150473 z^5 + 41847 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + (1472 + 21896 z + 186001 z^2 + 1940349 z^3 - 3925846 z^4 - 3699582 z^5 + 1959189 z^6 - 41847 z^7) 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