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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=-5/3, b>=a > For fixed z and a=-5/3, b=14/3





http://functions.wolfram.com/07.23.03.6796.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 14/3, -(11/2), z] == (1/(6928416 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((6928416 - 49478688 z + 144277632 z^2 - 209070976 z^3 + 129747904 z^4 + 12386880 z^5 + 31380096 z^6 - 66137259 z^7 + 49880652 z^8 - 17973488 z^9 + 2602496 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (2309472 - 14867712 z + 37807488 z^2 - 44140800 z^3 + 14588992 z^4 + 12111616 z^5 - 47123711 z^6 + 41869844 z^7 - 16672240 z^8 + 2602496 z^9) 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