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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/07.23.03.4936.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 17/3, 9/2, z] == (1/(4690180495 z^(7/2))) (243 ((1/Sqrt[1 - z]) (Sqrt[z] (-918 - 6970 z - 60180 z^2 + 18072769 z^3 - 128064937 z^4 + 372287292 z^5 - 567321456 z^6 + 479298560 z^7 - 213408000 z^8 + 39203840 z^9) Cos[ArcSin[Sqrt[z]]/3]) + (2754 + 21726 z + 187340 z^2 + 3743740 z^3 - 53591967 z^4 + 212393324 z^5 - 395448976 z^6 + 387296000 z^7 - 193806080 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