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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=-14/3, b>=a > For fixed z and a=-14/3, b=11/3





http://functions.wolfram.com/07.23.03.5381.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, 11/2, z] == (1/(2131900225 z^(9/2))) (6561 (-((1/Sqrt[1 - z]) (Sqrt[z] (-4536 + 11496 z - 184 z^2 + 3080 z^3 - 294121 z^4 + 959537 z^5 - 1360632 z^6 + 1017328 z^7 - 395200 z^8 + 63232 z^9) Cos[ArcSin[Sqrt[z]]/3])) - (13608 - 30456 z - 6680 z^2 - 14168 z^3 - 99176 z^4 + 554509 z^5 - 980408 z^6 + 843440 z^7 - 363584 z^8 + 63232 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