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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.bkkm.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) Cos[ArcSin[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) Sin[ArcSin[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