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





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 29/8, -(11/2), z] == (1/(135168 (-1 + z)^5)) ((-135168 + 390912 z - 260960 z^2 - 53093 z^3 - 38630 z^4 - 45909 z^5 - 141024 z^6 + 628320 z^7 - 574464 z^8 + 163200 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (4 Sqrt[z] (-25344 + 76992 z - 57309 z^2 - 7852 z^3 - 4835 z^4 - 6102 z^5 - 98394 z^6 + 223788 z^7 - 164016 z^8 + 40800 z^9) Sin[(3 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