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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=-39/8, b>=a > For fixed z and a=-39/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 31/8, 3/2, -z] == (1/13545) (4 ((3487 + 46391 z + 185176 z^2 + 316816 z^3 + 245952 z^4 + 71424 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((403 + 15682 z + 111959 z^2 + 317304 z^3 + 430864 z^4 + 281664 z^5 + 71424 z^6) 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