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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=8/3





http://functions.wolfram.com/07.23.03.5314.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 8/3, -(11/2), -z] == (1/(216513 (1 + z)^(7/2))) ((216513 + 279936 z - 24570 z^2 + 19628 z^3 - 24047 z^4 + 44988 z^5 - 206960 z^6 - 522496 z^7 - 252928 z^8) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (72171 + 42525 z - 32571 z^2 + 30031 z^3 - 31572 z^4 + 40560 z^5 + 396032 z^6 + 252928 z^7) 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