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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=14/3





http://functions.wolfram.com/07.23.03.4889.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 14/3, 9/2, z] == (1/(4690180495 z^(7/2))) (243 ((1/Sqrt[1 - z]) (Sqrt[z] (-3672 - 14416 z - 86632 z^2 + 17934389 z^3 - 105631669 z^4 + 263227328 z^5 - 351257712 z^6 + 264041024 z^7 - 105913600 z^8 + 17704960 z^9) Cos[ArcSin[Sqrt[z]]/3]) + (11016 + 46512 z + 275128 z^2 + 4188800 z^3 - 47830497 z^4 + 158357056 z^5 - 253422000 z^6 + 217723584 z^7 - 97061120 z^8 + 17704960 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