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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=14/3





http://functions.wolfram.com/07.23.03.5409.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 14/3, -(7/2), z] == -((1/(1215 (-1 + z)^3)) ((1/Sqrt[1 - z]) ((1215 + 3240 z + 10066 z^2 + 43932 z^3 + 477087 z^4 - 3552536 z^5 + 6983184 z^6 - 5548608 z^7 + 1580800 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (405 + 1365 z + 4347 z^2 + 17823 z^3 - 1647672 z^4 + 4801680 z^5 - 4758208 z^6 + 1580800 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