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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=-11/3, b>=a > For fixed z and a=-11/3, b=2/3





http://functions.wolfram.com/07.23.03.5726.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 2/3, -(11/2), -z] == (1/(137781 (1 + z)^(5/2))) ((137781 + 290871 z + 148743 z^2 - 5219 z^3 + 2232 z^4 - 1568 z^5 + 2240 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-45927 - 64638 z - 7623 z^2 + 3856 z^3 - 2688 z^4 + 2240 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