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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 47/8, -(1/2), -z] == (1/(1612 (1 + z)^(7/2))) ((-Sqrt[1 + z]) (-1612 + 49569 z + 930421 z^2 + 3840584 z^3 + 6452400 z^4 + 4848192 z^5 + 1357056 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-403 + 285706 z + 2294165 z^2 + 6545576 z^3 + 8706864 z^4 + 5526720 z^5 + 1357056 z^6) 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