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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 3 and fixed z > For fixed z and a=16/3, b>=a > For fixed z and a=16/3, b=17/3





http://functions.wolfram.com/07.23.03.8903.01









  


  








Input Form





Hypergeometric2F1[16/3, 17/3, 9/2, -z] == (243 ((-Sqrt[z]) (-135 - 1072 z - 4296 z^2 - 172128 z^3 + 47744 z^4) Cosh[ArcSinh[Sqrt[z]]/3] + 9 Sqrt[1 + z] (-45 - 344 z - 1336 z^2 - 5600 z^3 + 3456 z^4) Sinh[ArcSinh[Sqrt[z]]/3]))/ (37486592 z^(7/2) (1 + z)^(13/2))








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