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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=5/3





http://functions.wolfram.com/07.23.03.6668.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 5/3, -(11/2), -z] == (1/(1515591 (1 + z)^(11/2))) ((1515591 + 7654500 z + 15089949 z^2 + 13952738 z^3 + 5138393 z^4 - 206448 z^5 + 236555 z^6 + 120428 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-505197 - 2195991 z - 3523464 z^2 - 2321238 z^3 - 279565 z^4 + 176341 z^5 + 120428 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