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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=7/3, b>=a > For fixed z and a=7/3, b=14/3





http://functions.wolfram.com/07.23.03.8348.01









  


  










Input Form





Hypergeometric2F1[7/3, 14/3, 1/2, z] == (1/(4096 (-1 + z)^6)) (((4096 + 67153 z + 67860 z^2 - 1456 z^3 + 128 z^4) Cos[ArcSin[Sqrt[z]]/3])/ Sqrt[1 - z] + Sqrt[z] (-13043 - 31620 z - 1392 z^2 + 128 z^3) 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