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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=-47/8, b>=a > For fixed z and a=-47/8, b=-25/8





http://functions.wolfram.com/07.23.03.b4s5.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(25/8), -(1/2), -z] == (1/(2508 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-2508 - 92169 z + 995656 z^2 - 1026966 z^3 + 55080 z^4 + 5015 z^5 + 340 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-627 + 154789 z - 181018 z^2 - 283734 z^3 + 57545 z^4 + 5185 z^5 + 340 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