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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=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2v4.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, 1/2, -z] == (1/(9269 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-9269 + 41345 z + 28485 z^2 + 16547 z^3 + 5764 z^4 + 880 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-103421 + 53845 z + 36093 z^2 + 19319 z^3 + 6204 z^4 + 880 z^5) 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