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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/07.23.03.6797.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 14/3, -(11/2), -z] == (1/(6928416 (1 + z)^(17/2))) ((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) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + 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) Sinh[ArcSinh[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