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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.bgz0.01









  


  










Input Form





Hypergeometric2F1[-(29/8), 29/8, -(11/2), -z] == (1/(135168 (1 + z)^(11/2))) (Sqrt[1 + z] (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) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 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) Sinh[(3 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