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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=35/8, b>=a > For fixed z and a=35/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[35/8, 37/8, -(7/2), -z] == (1/(22272 (1 + z)^(25/2))) (Sqrt[1 + z] (22272 + 402288 z + 3903255 z^2 + 31084578 z^3 + 392054625 z^4 - 2202306132 z^5 + 1960698857 z^6 - 382467550 z^7 + 9952767 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (16704 + 304152 z + 2969919 z^2 + 23713938 z^3 + 868006385 z^4 - 3041074764 z^5 + 2261405553 z^6 - 400483454 z^7 + 9952767 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