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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=45/8





http://functions.wolfram.com/07.23.03.b5s2.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, 11/2, -z] == (1024 (2 Sqrt[z] (7506464 - 26674756 z + 106062315 z^2 - 605275682 z^3 + 402903556107 z^4 + 2517235700364 z^5 + 6485232413088 z^6 + 8864751464448 z^7 + 6792701313024 z^8 + 2769045159936 z^9 + 469424406528 z^10) Cos[ArcTan[Sqrt[z]]/4] - (60051712 - 194631888 z + 776885513 z^2 - 4556993335 z^3 + 70118449911 z^4 + 732352862967 z^5 + 2317826667024 z^6 + 3590630436096 z^7 + 3005862199296 z^8 + 1311175016448 z^9 + 234712203264 z^10) Sin[ArcTan[Sqrt[z]]/4]))/ (806788224462495 z^(9/2) (1 + z)^(1/8))








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