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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.bgzq.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 29/8, 5/2, -z] == (1/(191675 z^(3/2))) (16 (Sqrt[z] (-87 + 13881 z + 90624 z^2 + 194208 z^3 + 171904 z^4 + 54400 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) (4 (-29 + 609 z + 10884 z^2 + 42410 z^3 + 68340 z^4 + 49776 z^5 + 13600 z^6) 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