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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=37/8





http://functions.wolfram.com/07.23.03.bh57.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 37/8, 9/2, -z] == (1/(45886995 z^(7/2))) (256 (Sqrt[z] (-240 + 787 z - 3402 z^2 + 215163 z^3 + 1018776 z^4 + 1696464 z^5 + 1224000 z^6 + 326400 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((-320 + 776 z - 3629 z^2 + 43974 z^3 + 576243 z^4 + 1734408 z^5 + 2267664 z^6 + 1387200 z^7 + 326400 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