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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/07.23.03.4916.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 17/3, -(11/2), z] == (1/(216513 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-216513 - 61236 z - 88587 z^2 - 173890 z^3 - 458415 z^4 - 1848704 z^5 - 19855693 z^6 + 157231308 z^7 - 359224944 z^8 + 379708160 z^9 - 194438400 z^10 + 39203840 z^11) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-72171 - 71199 z - 85176 z^2 - 126070 z^3 - 252395 z^4 - 809523 z^5 + 69967196 z^6 - 230034064 z^7 + 297190400 z^8 - 174836480 z^9 + 39203840 z^10) 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