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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=-2/3, b>=a > For fixed z and a=-2/3, b=8/3





http://functions.wolfram.com/07.23.03.7106.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 8/3, -(9/2), -z] == (1/(459270 (1 + z)^(13/2))) ((459270 + 2829330 z + 7145910 z^2 + 9181434 z^3 + 5503978 z^4 - 903210 z^5 - 606441 z^6 - 120428 z^7) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (153090 + 835380 z + 1805870 z^2 + 1848128 z^3 + 645150 z^4 + 546227 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