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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=33/8, b>=a > For fixed z and a=33/8, b=39/8





http://functions.wolfram.com/07.23.03.cc43.01









  


  








Input Form





Hypergeometric2F1[33/8, 39/8, -(7/2), -z] == (1/(31942400 (1 + z)^(25/2))) (Sqrt[1 + z] (31942400 + 567833200 z + 5433070695 z^2 + 42907520050 z^3 + 544649309825 z^4 - 2655152301364 z^5 + 2031496503417 z^6 - 307561218318 z^7 + 3382283775 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (7985600 + 144453800 z + 1401569055 z^2 + 11133102850 z^3 + 4833004718769 z^4 - 11103293561308 z^5 + 5515279981137 z^6 - 571832563182 z^7 + 3382283775 z^8) Sinh[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