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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=-31/8, b>=a > For fixed z and a=-31/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, 7/2, -z] == (1/(28875231 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (2852 - 4991 z + 485678 z^2 + 1677225 z^3 + 2225960 z^4 + 1340944 z^5 + 307648 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (11408 - 12121 z + 123349 z^2 + 1117837 z^3 + 2641815 z^4 + 2857976 z^5 + 1494768 z^6 + 307648 z^7) 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