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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=-17/3, b>=a > For fixed z and a=-17/3, b=17/3





http://functions.wolfram.com/07.23.03.4939.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, 11/2, -z] == (6561 (Sqrt[z] (-2754 + 8364 z - 33422 z^2 + 198560 z^3 + 40506037 z^4 + 237124901 z^5 + 588351036 z^6 + 782578992 z^7 + 586792960 z^8 + 234906880 z^9 + 39203840 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (8262 - 27540 z + 109514 z^2 - 632400 z^3 + 9505210 z^4 + 107628235 z^5 + 354420300 z^6 + 565021392 z^7 + 484040960 z^8 + 215304960 z^9 + 39203840 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/ (286101010195 z^(9/2) Sqrt[1 + z])








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