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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=-21/8, b>=a > For fixed z and a=-21/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 21/8, 11/2, -z] == (1/(5098555 z^(9/2))) (1024 (2 Sqrt[z] (672 + 2516 z + 2583 z^2 - 525 z^3 + 3473 z^4 + 6129 z^5 + 3744 z^6 + 816 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((1792 + 8240 z + 12559 z^2 + 4291 z^3 + 1295 z^4 + 12241 z^5 + 15798 z^6 + 8304 z^7 + 1632 z^8) 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