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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=-11/3, b>=a > For fixed z and a=-11/3, b=5/3





http://functions.wolfram.com/07.23.03.5770.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 5/3, -(11/2), z] == (1/(137781 (-1 + z)^3)) ((1/Sqrt[1 - z]) ((-137781 + 336798 z - 203742 z^2 - 9584 z^3 - 5549 z^4 - 5782 z^5 - 14840 z^6 + 14560 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-45927 + 79947 z - 15183 z^2 - 9455 z^3 - 7742 z^4 - 7560 z^5 + 14560 z^6) 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