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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=-5/3, b>=a > For fixed z and a=-5/3, b=8/3





http://functions.wolfram.com/07.23.03.6711.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 8/3, -(11/2), -z] == (1/(216513 (1 + z)^(13/2))) ((216513 + 1244403 z + 2845017 z^2 + 3128111 z^3 + 1415671 z^4 - 81719 z^5 + 133331 z^6 + 137632 z^7 + 34408 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-72171 - 364014 z - 697725 z^2 - 576976 z^3 - 107525 z^4 + 77418 z^5 + 120428 z^6 + 34408 z^7) 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