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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 39/8, -(11/2), -z] == (1/(4190208 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-4190208 - 18784512 z - 26858400 z^2 - 7073053 z^3 + 5746377 z^4 - 8155511 z^5 + 28455427 z^6 + 102616800 z^7 + 109636384 z^8 + 51818624 z^9 + 9389952 z^10) Cosh[ArcSinh[Sqrt[z]]/4] + 4 Sqrt[z] (-261888 - 1255872 z - 2010753 z^2 - 830986 z^3 + 366730 z^4 - 417508 z^5 + 17232787 z^6 + 37886134 z^7 + 33592988 z^8 + 14128400 z^9 + 2347488 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