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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=-14/3, b>=a > For fixed z and a=-14/3, b=11/3





http://functions.wolfram.com/07.23.03.5364.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 11/3, -(7/2), -z] == (1/(1215 (1 + z)^(5/2))) ((1215 - 2835 z + 7573 z^2 - 27705 z^3 + 243048 z^4 + 1343888 z^5 + 1754688 z^6 + 695552 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-405 + 1230 z - 3421 z^2 + 11752 z^3 + 727376 z^4 + 1406912 z^5 + 695552 z^6) 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