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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=13/3, b>=a > For fixed z and a=13/3, b=14/3





http://functions.wolfram.com/07.23.03.8769.01









  


  








Input Form





Hypergeometric2F1[13/3, 14/3, -(1/2), -z] == (1/(98304 (1 + z)^(19/2))) (3 (32768 + 1638400 z - 27835957 z^2 + 59635448 z^3 - 26496032 z^4 + 1875392 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-32768 + 14462941 z - 58567152 z^2 + 40210816 z^3 - 4174784 z^4) 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