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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=-45/8, b>=a > For fixed z and a=-45/8, b=-27/8





http://functions.wolfram.com/07.23.03.b69h.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(27/8), -(7/2), -z] == (1/(1792 Sqrt[1 + z])) (Sqrt[1 + z] (1792 + 10224 z + 23943 z^2 + 28949 z^3 + 16929 z^4 + 13167 z^5 + 2508 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (1344 + 7864 z + 18953 z^2 + 23719 z^3 + 23199 z^4 + 14421 z^5 + 2508 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