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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=5/3





http://functions.wolfram.com/07.23.03.5286.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 5/3, 7/2, -z] == (81 (Sqrt[z] (25344 + 109824 z + 680411 z^2 + 1624075 z^3 + 1903664 z^4 + 1254080 z^5 + 445120 z^6 + 66560 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-76032 - 306944 z + 295680 z^2 + 1021623 z^3 + 1422744 z^4 + 1056480 z^5 + 411840 z^6 + 66560 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/ (60911435 z^(5/2) 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