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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=-2/3, b>=a > For fixed z and a=-2/3, b=2/3





http://functions.wolfram.com/07.23.03.7023.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 2/3, -(7/2), z] == (1/(1701 (-1 + z)^3)) (((-1701 + 5832 z - 6950 z^2 + 2956 z^3 + 187 z^4) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + Sqrt[z] (-567 + 1545 z - 1273 z^2 + 187 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