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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=29/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 29/8, 11/2, -z] == (1/(5098555 z^(9/2))) (1024 (Sqrt[z] (-960 - 1640 z + 357 z^2 - 390 z^3 + 6501 z^4 + 15624 z^5 + 12240 z^6 + 3264 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((-1280 - 3280 z - 1349 z^2 - 63 z^3 + 1545 z^4 + 12987 z^5 + 21336 z^6 + 13872 z^7 + 3264 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