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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.blu6.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 29/8, -(7/2), -z] == (1/(1280 (1 + z)^(9/2))) ((-Sqrt[1 + z]) (-1280 - 2000 z + 651 z^2 - 714 z^3 + 2259 z^4 + 10728 z^5 + 10608 z^6 + 3264 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-960 - 1640 z + 357 z^2 - 390 z^3 + 6501 z^4 + 15624 z^5 + 12240 z^6 + 3264 z^7) 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