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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/07.23.03.5377.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, 7/2, z] == (1/(60911435 z^(5/2))) (81 (-((1/Sqrt[1 - z]) (Sqrt[z] (792 + 4136 z - 694667 z^2 + 3429411 z^3 - 6865768 z^4 + 6892496 z^5 - 3461952 z^6 + 695552 z^7) Cos[ArcSin[Sqrt[z]]/3])) - (-2376 - 13112 z - 176176 z^2 + 1689543 z^3 - 4500392 z^4 + 5422352 z^5 - 3114176 z^6 + 695552 z^7) 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