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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=-31/8, b>=a > For fixed z and a=-31/8, b=29/8





http://functions.wolfram.com/07.23.03.bfi6.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 29/8, 11/2, -z] == (1024 (2 Sqrt[z] (-114080 - 213900 z + 83421 z^2 - 98394 z^3 + 11933317 z^4 + 32535992 z^5 + 35334720 z^6 + 17875968 z^7 + 3514368 z^8) Cos[ArcTan[Sqrt[z]]/4] - (-912640 - 1996400 z + 207483 z^2 - 476997 z^3 + 3112245 z^4 + 12134629 z^5 + 15189984 z^6 + 8388864 z^7 + 1757184 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(23553480093 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