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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.bluv.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 29/8, 9/2, -z] == (1/(805035 z^(7/2))) (256 (Sqrt[z] (-240 + 91 z - 154 z^2 + 3987 z^3 + 11496 z^4 + 10608 z^5 + 3264 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((-320 - 152 z - 91 z^2 + 938 z^3 + 8613 z^4 + 16392 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