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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=1/3, b>=a > For fixed z and a=1/3, b=11/3





http://functions.wolfram.com/07.23.03.7508.01









  


  








Input Form





Hypergeometric2F1[1/3, 11/3, -(7/2), -z] == (1/(1088640 (1 + z)^(15/2))) ((1088640 + 8605440 z + 30315008 z^2 + 64368640 z^3 + 112149248 z^4 + 14894363 z^5 + 3905308 z^6 + 481712 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-362880 - 2613120 z - 8294016 z^2 - 15806848 z^3 + 13122351 z^4 + 3664452 z^5 + 481712 z^6) Sinh[ArcSinh[Sqrt[z]]/3])








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