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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/07.23.03.7510.01









  


  








Input Form





Hypergeometric2F1[1/3, 11/3, -(5/2), -z] == (1/(51840 (1 + z)^(13/2))) ((51840 + 365184 z + 1163136 z^2 + 2705536 z^3 + 465069 z^4 + 145860 z^5 + 20944 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-17280 - 109568 z - 311936 z^2 + 399993 z^3 + 135388 z^4 + 20944 z^5) 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