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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=43/8, b>=a > For fixed z and a=43/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[43/8, 45/8, -(3/2), -z] == (1/(51504 (1 + z)^(25/2))) ((-Sqrt[1 + z]) (-51504 - 1670661 z - 60163110 z^2 + 915694269 z^3 - 2245624420 z^4 + 1456398405 z^5 - 238128230 z^6 + 5529315 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-38628 - 1258629 z - 185809498 z^2 + 1532131549 z^3 - 2935164480 z^4 + 1654025125 z^5 - 248451490 z^6 + 5529315 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