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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=-7/3





http://functions.wolfram.com/07.23.03.5676.01









  


  










Input Form





Hypergeometric2F1[-(11/3), -(7/3), 11/2, -z] == -((6561 (Sqrt[z] (663552 + 10813440 z + 92094464 z^2 + 615677952 z^3 - 24215121351 z^4 + 4782869959 z^5 + 24037395510 z^6 - 5479452408 z^7 + 14876768 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-1990656 - 31850496 z - 267108352 z^2 - 1771929600 z^3 - 17499660288 z^4 + 91330419181 z^5 - 65315389218 z^6 + 8157270648 z^7 + 14876768 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))/(198223656540455 z^(9/2) Sqrt[1 + z]))










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