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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=-9/8





http://functions.wolfram.com/07.23.03.b9xy.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(9/8), 3/2, -z] == (1/134805) (4 (4 (8559 - 32898 z + 4438 z^2 + 1028 z^3 + 211 z^4 + 22 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((2139 - 27804 z - 13958 z^2 + 19708 z^3 + 4523 z^4 + 888 z^5 + 88 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