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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=-39/8, b>=a > For fixed z and a=-39/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 39/8, 11/2, -z] == (1/(9059030805 z^(9/2))) (1024 (2 Sqrt[z] (2912 - 3380 z + 7397 z^2 - 27599 z^3 + 4710211 z^4 + 21858683 z^5 + 40562720 z^6 + 37890864 z^7 + 17816832 z^8 + 3370752 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((23296 - 11024 z + 38675 z^2 - 176969 z^3 + 2136563 z^4 + 24667181 z^5 + 76771134 z^6 + 114983440 z^7 + 92755872 z^8 + 39004416 z^9 + 6741504 z^10) 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