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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=-8/3, b>=a > For fixed z and a=-8/3, b=11/3





http://functions.wolfram.com/07.23.03.6330.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 11/3, -(5/2), z] == (1/(405 (-1 + z)^3)) (((-405 - 144 z - 318 z^2 - 1988 z^3 + 8274 z^4 - 8736 z^5 + 2912 z^6) Cos[ArcSin[Sqrt[z]]/3])/Sqrt[1 - z] + Sqrt[z] (-135 - 143 z - 217 z^2 + 4998 z^3 - 7280 z^4 + 2912 z^5) 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