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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/07.23.03.4918.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, -(9/2), z] == (1/(6561 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((6561 + 16929 z + 47988 z^2 + 166090 z^3 + 831545 z^4 + 10680813 z^5 - 99607196 z^6 + 260788528 z^7 - 310469120 z^8 + 176733440 z^9 - 39203840 z^10) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (-2187 - 7182 z - 21218 z^2 - 70928 z^3 - 329043 z^4 + 41129452 z^5 - 159577808 z^6 + 236803840 z^7 - 157131520 z^8 + 39203840 z^9) Sin[ArcSin[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